import static java.lang.Math.*; import static java.util.Arrays.*; import java.io.*; import java.lang.reflect.*; import java.util.*; import java.util.concurrent.*; import java.util.function.*; import java.util.stream.*; public class Main{ public static void main(String[] args) throws Exception{ MyReader in = new MyReader(System.in); MyWriter out = new MyWriter(System.out,false),log = new MyWriter(System.err,true); int T = Solver.multi ? in.it() : 1; while (T-- > 0) Optional.ofNullable(new Solver(in,out,log).solve()).ifPresent(out::println); out.flush(); } } class Solver extends BaseSolver{ public Solver(MyReader in,MyWriter out,MyWriter log){ super(in,out,log); } public static boolean multi = false; public Object solve(){ long N = in.lg(); Prime pm = new Prime(); long ans = 0; for (long p = 2;p *p <= N;p++) { if (!pm.isPrime(p)) continue; long x = p *p; while (x <= N) { ans += x; x *= p; } } return ans; } } class Prime{ private long[] spf, arrI = {2, 7, 61}, arrL = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; public Prime(){ this(10_000_000); } public Prime(int n){ spf = new long[n +1 >>1]; Arrays.setAll(spf,i -> i <<1 |1); for (int p = 3;p *p <= n;p += 2) if (spf[p >>1] == p) for (int l = p *p;l <= n;l += p <<1) spf[l >>1] = p; } public int[] primes(int n){ return IntStream.range(0,n).filter(this::isPrime).toArray(); } public long[] divisors(long n){ long[] fs = factorize(n); int l = fs.length > 0 ? 2 : 1,id = 0; for (int i = 1,sz = 1;i < fs.length;i++,l += sz) if (fs[i -1] < fs[i]) sz = l; long[] ret = new long[l]; ret[id++] = 1; for (int i = 0,s = 0,sz = 1;i < fs.length;i++,s += sz) { if (0 < i && fs[i -1] < fs[i]) { sz = id; s = 0; } for (int j = s;j < s +sz;j++) ret[id++] = ret[j] *fs[i]; } sort(ret); return ret; } public long[] factorize(long n){ if (n < 2) return new long[0]; long[] ret = new long[64]; int h = 0,t = 0; ret[t++] = n; while (h < t) { long cur = ret[h++]; if (!isPrime(cur)) { var p = rho(cur); ret[--h] = p; ret[t++] = cur /p; } } sort(ret,0,t); return copyOf(ret,t); } public boolean isPrime(long n){ if ((n &1) == 0) return n == 2; if (n >>1 < spf.length) return 1 < n && spf[(int) n >>1] == n; ModInt bm = new ModInt(n); long lsb = n -1 &-n +1; long m = (n -1) /lsb; a:for (var a:n < 1 <<30 ? arrI : arrL) { long z = bm.pow(a %n,m); if (z < 2) continue; for (long k = 1;k <= lsb;k <<= 1) if (z == n -1) continue a; else z = bm.mul(z,z); return false; } return true; } private long rho(long n){ if ((n &1) == 0) return 2; if (n >>1 < spf.length) return spf[(int) n >>1]; ModInt bm = new ModInt(n); for (long t;;) { long x = 0,y = x,q = 1,c = Util.rd.nextLong(n -1) +1; a:for (int k = 1;;k <<= 1,y = x,q = 1) for (int i = k;i-- > 0;) { x = bm.mul(x,x) +c; if (n <= x) x -= n; q = bm.mul(q,abs(x -y)); if ((i &127) == 0 && (t = gcd(q,n)) > 1) break a; } if (t < n) return t; } } private long gcd(long a,long b){ while (0 < b) { long t = a; a = b; b = t %b; } return a; } class ModInt{ private long n,r2,ni; public ModInt(long n){ this.n = n; r2 = (1L <<62) %n; for (int i = 0;i < 66;i++) { r2 <<= 1; if (r2 >= n) r2 -= n; } ni = n; for (int i = 0;i < 5;++i) ni *= 2 -n *ni; } private static long high(long x,long y){ return multiplyHigh(x,y) +(x >>63 &y) +(y >>63 &x); } private long mr(long x,long y){ return high(x,y) +high(-ni *x *y,n) +(x *y == 0 ? 0 : 1); } public long mod(long x){ return x < n ? x : x -n; } public long mul(long x,long y){ return mod(mr(mr(x,r2),y)); } public long pow(long x,long y){ long z = mr(x,r2); long r = 1; while (y > 0) { if ((y &1) == 1) r = mr(r,z); z = mr(z,z); y >>= 1; } return mod(r); } } } class Data extends BaseV{ public long val,lft,rht,sum; public Data(long val,long lft,long rht,long sum){ this.val = val; this.lft = lft; this.rht = rht; this.sum = sum; } @Override public String toString(){ return "(" +val +"," +sz +")"; } } abstract class DisjointSparseTable { private int n,k; private V[][] dat; public DisjointSparseTable(int n){ this.n = Integer.highestOneBit(n -1) <<1; k = Integer.SIZE -Integer.numberOfLeadingZeros(this.n); dat = Util.cast(new BaseV[k][this.n]); setAll(dat[0],this::init); for (int i = 0;i < this.n;i++) dat[0][i].sz = 1; build(); } private void build(){ V[][] dat = this.dat; for (int kk = 1;kk < k;kk++) { setAll(dat[kk],i -> e()); int l = 1 <>1; dat[kk][m -1] = init(m -1); dat[kk][m] = init(m); dat[kk][m -1].sz = dat[kk][m].sz = 1; for (int j = 1;j <<1 < l;j++) { agg(dat[kk][m -1 -j],dat[0][m -1 -j],dat[kk][m -j]); agg(dat[kk][m +j],dat[kk][m +j -1],dat[0][m +j]); dat[kk][m -1 -j].sz = dat[kk][m +j].sz = j +1; } } } } protected abstract V e(); protected abstract V init(int i); protected abstract void agg(V v,V a,V b); protected V get(int i){ return dat[0][i]; } protected V get(int l,int r){ if (l >= r) return null; if (r -l == 1) return get(l); int k = Integer.SIZE -Integer.numberOfLeadingZeros(l ^r -1); V ret = e(); agg(ret,dat[k][l],dat[k][r -1]); return ret; } } class Edge { public int id,u,v; public L val; public Edge re; public Edge(int id,int u,int v,L val){ this.id = id; this.u = u; this.v = v; this.val = val; } } class Graph { protected int n; protected MyList> es; private Edge[][] go,bk; private int[] cntgo,cntbk; private boolean built; public Graph(int n,boolean dir){ this.n = n; go = Util.cast(new Edge[n][]); bk = dir ? Util.cast(new Edge[n][]) : go; fill(go,new Edge[0]); fill(bk,new Edge[0]); es = new MyList<>(); cntgo = new int[n]; cntbk = dir ? new int[n] : cntgo; } public int size(){ return n; } protected L inv(L l){ return l; } public void addEdge(int u,int v){ addEdge(u,v,null); } public void addEdge(int u,int v,L l){ var e = new Edge<>(es.size(),u,v,l); var re = new Edge<>(e.id,e.v,e.u,inv(e.val)); es.add(e); re.re = e; e.re = re; } public Edge[] go(int u){ if (!built) build(); return go[u]; } public Edge[] bk(int u){ if (!built) build(); return bk[u]; } private void build(){ for (var e:es) { cntgo[e.u]++; cntbk[e.v]++; } for (var e:es) { if (go[e.u].length == 0) go[e.u] = Util.cast(new Edge[cntgo[e.u]]); if (bk[e.v].length == 0) bk[e.v] = Util.cast(new Edge[cntbk[e.v]]); } for (var e:es) { go[e.u][--cntgo[e.u]] = e; bk[e.v][--cntbk[e.v]] = e.re; } built = true; } public void clear(){ Edge[] empty = Util.cast(new Edge[0]); for (var e:es) go[e.u] = bk[e.v] = empty; es.clear(); built = false; } } abstract class BaseV{ public int sz; public boolean fail; } class MyList implements Iterable{ private E[] arr; private int hd,tl; public MyList(){ this(16); } public MyList(int n){ arr = Util.cast(new Object[Integer.highestOneBit(max(16,n) -1) <<1]); } public MyList(MyList org){ this(org.size() +1); System.arraycopy(org.arr,0,arr,0,tl = org.size()); } public MyList(Collection col){ this(col.size() +1); col.forEach(this::add); } public void add(E t){ addLast(t); } public void addFirst(E e){ hd = hd -1 &arr.length -1; arr[hd] = e; if (hd == tl) grow(); } public void addLast(E e){ arr[tl] = e; tl = tl +1 &arr.length -1; if (hd == tl) grow(); } public E peek(){ return peekFirst(); } public E peekFirst(){ return arr[hd]; } public E peekLast(){ return arr[tl -1 &arr.length -1]; } public E poll(){ return pollFirst(); } public E pollFirst(){ E ret = arr[hd]; hd = hd +1 &arr.length -1; return ret; } public E pollLast(){ tl = tl -1 &arr.length -1; return arr[tl]; } public E get(int i){ return arr[hd +i &arr.length -1]; } public E remove(int i){ i = hd +i &arr.length -1; E ret = arr[i]; tl = tl -1 &arr.length -1; while (i != tl) { arr[i] = arr[i +1 &arr.length -1]; i = i +1 &arr.length -1; } return ret; } public E removeFast(int i){ swap(i,size() -1); return pollLast(); } public void swap(int i,int j){ i = hd +i &arr.length -1; j = hd +j &arr.length -1; Util.swap(arr,i,j); } public void set(int i,E t){ arr[hd +i &arr.length -1] = t; } public void clear(){ tl = hd; } public int size(){ return tl -hd &arr.length -1; } public boolean isEmpty(){ return tl == hd; } public void sort(){ sort(Util.cast(Comparator.naturalOrder())); } public void sort(Comparator cmp){ int size = size(); if (hd > tl) System.arraycopy(arr,hd,arr,tl,arr.length -hd); else System.arraycopy(arr,hd,arr,0,tl -hd); Arrays.sort(arr,hd = 0,tl = size,cmp); } public MyList map(Function func){ MyList ret = new MyList<>(size()); forEach(t -> ret.add(func.apply(t))); return ret; } public MyList rev(){ MyList ret = new MyList<>(size()); for (int i = size();i-- > 0;) ret.add(get(i)); return ret; } public int[] toIntArray(ToIntFunction f){ return Util.arrI(size(),i -> f.applyAsInt(get(i))); } public E[] toArray(){ if (hd == tl) return Util.cast(new Object[0]); E[] ret = Util.cast(Array.newInstance(arr[0].getClass(),size())); if (hd < tl) System.arraycopy(arr,hd,ret,0,tl -hd); else { System.arraycopy(arr,hd,ret,0,arr.length -hd); System.arraycopy(arr,0,ret,arr.length -hd,tl); } return ret; } private void grow(){ E[] newarr = Util.cast(new Object[arr.length <<1]); System.arraycopy(arr,hd,newarr,0,arr.length -hd); System.arraycopy(arr,0,newarr,arr.length -hd,tl); hd = 0; tl = arr.length; arr = newarr; } @Override public Iterator iterator(){ return new Iterator<>(){ int i = 0; @Override public boolean hasNext(){ return i < size(); } @Override public E next(){ return get(i++); } }; } public Stream stream(){ return StreamSupport.stream(Spliterators.spliteratorUnknownSize(iterator(),0),false); } } class BaseSolver extends Util{ public MyReader in; public MyWriter out,log; public BaseSolver(MyReader in,MyWriter out,MyWriter log){ this.in = in; this.out = out; this.log = log; } public int[][] addId(int[][] T){ return arr(new int[T.length][],i -> { int[] t = copyOf(T[i],T[i].length +1); t[t.length -1] = i; return t; }); } public long inv(long x){ return pow(x,mod -2); } public long inv(long x,long mod){ return (extendGcd(x,mod)[0] +mod) %mod; } public long pow(long x,long n){ return pow(x,n,mod); } public long pow(long x,long n,long mod){ long ret = 1; for (x %= mod;0 < n;x = x *x %mod,n >>= 1) if ((n &1) == 1) ret = ret *x %mod; return ret; } public int bSearchI(int o,int n,IntPredicate judge){ for (int m = 0;1 < abs(n -o);) m = judge.test(m = o +n >>1) ? (o = m) : (n = m); return o; } public long bSearchL(long o,long n,LongPredicate judge){ for (long m = 0;1 < abs(n -o);) m = judge.test(m = o +n >>1) ? (o = m) : (n = m); return o; } public double bSearchD(double o,double n,DoublePredicate judge){ for (double m,c = 0;c < 100;c++) m = judge.test(m = (o +n) /2) ? (o = m) : (n = m); return o; } public long gcd(long... arr){ long ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = gcd(ret,arr[i]); return ret; } public long gcd(long a,long b){ while (0 < b) { long t = a; a = b; b = t %b; } return a; } public long[] extendGcd(long a,long b){ long x0 = 1,y0 = 0,x1 = 0,y1 = 1; while (b != 0) { long q = a /b,t = a %b,tx = x1,ty = y1; a = b; b = t; x1 = x0 -q *x1; y1 = y0 -q *y1; x0 = tx; y0 = ty; } return new long[]{x0, y0, a}; } public long lcm(long a,long b){ return b /gcd(a,b) *a; } public long ceil(long a,long b){ return (a +b -1) /b; } public int[] lis(int[] arr){ int n = arr.length; int[] lis = new int[n],idx = new int[n],par = new int[n]; fill(lis,infI); int l = 0; for (int i = 0;i < n;i++) { int a = arr[i]; int pos = bSearchI(n -1,-1,ii -> lis[ii] >= a); lis[pos] = a; idx[pos] = i; if (pos > 0) par[i] = idx[pos -1]; l = max(l,pos +1); } int[] result = new int[l]; for (int i = l -1,cur = idx[l -1];i >= 0;i--) { result[i] = arr[cur]; cur = par[cur]; } return result; } public void shift(char[][] S,char offset){ for (var s:S) shift(s,offset); } public void shift(char[] s,char offset){ for (int i = 0;i < s.length;i++) s[i] -= offset; } public HashSet set(int[] arr){ HashSet set = new HashSet<>(); for (var a:arr) set.add(a); return set; } public TreeSet treeset(int[] arr){ TreeSet set = new TreeSet<>(); for (var a:arr) set.add(a); return set; } } class Util{ public static String yes = "Yes",no = "No"; public static int infI = (1 <<30) -1,mod = 998244353; public static long infL = (1L <<61 |1 <<30) -1; public static Random rd = ThreadLocalRandom.current(); private long st = System.currentTimeMillis(); protected long elapsed(){ return System.currentTimeMillis() -st; } protected void reset(){ st = System.currentTimeMillis(); } public static int[] arrI(int N,IntUnaryOperator f){ return IntStream.range(0,N).map(f).toArray(); } public static long[] arrL(int N,IntToLongFunction f){ return IntStream.range(0,N).mapToLong(f).toArray(); } public static double[] arrD(int N,IntToDoubleFunction f){ return IntStream.range(0,N).mapToDouble(f).toArray(); } public static T[] arr(T[] arr,IntFunction f){ setAll(arr,f); return arr; } @SuppressWarnings("unchecked") public static T cast(Object obj){ return (T) obj; } public static void swap(T[] arr,int i,int j){ T t = arr[i]; arr[i] = arr[j]; arr[j] = t; } public static int min(int... arr){ int ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = Math.min(ret,arr[i]); return ret; } public static long min(long... arr){ long ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = Math.min(ret,arr[i]); return ret; } public static double min(double... arr){ double ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = Math.min(ret,arr[i]); return ret; } public static int max(int... arr){ int ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = Math.max(ret,arr[i]); return ret; } public static long max(long... arr){ long ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = Math.max(ret,arr[i]); return ret; } public static double max(double... arr){ double ret = arr[0]; for (int i = 1;i < arr.length;i++) ret = Math.max(ret,arr[i]); return ret; } public static double sum(double... A){ double ret = 0; for (var a:A) ret += a; return ret; } public static long sum(int... A){ long ret = 0; for (var a:A) ret += a; return ret; } public static long sum(long... A){ long ret = 0; for (var a:A) ret += a; return ret; } } class MyReader{ private byte[] buf = new byte[1 <<16]; private int ptr,tail; private InputStream in; public MyReader(InputStream in){ this.in = in; } private byte read(){ if (ptr == tail) try { tail = in.read(buf); ptr = 0; } catch (IOException e) {} return buf[ptr++]; } private boolean isPrintable(byte c){ return 32 < c && c < 127; } private byte nextPrintable(){ byte ret = read(); while (!isPrintable(ret)) ret = read(); return ret; } public int it(){ return toIntExact(lg()); } public int[] it(int N){ return Util.arrI(N,i -> it()); } public int[][] it(int H,int W){ return Util.arr(new int[H][],i -> it(W)); } public int idx(){ return it() -1; } public int[] idx(int N){ return Util.arrI(N,i -> idx()); } public int[][] idx(int H,int W){ return Util.arr(new int[H][],i -> idx(W)); } public long lg(){ byte i = nextPrintable(); boolean negative = i == 45; long n = negative ? 0 : i -'0'; while (isPrintable(i = read())) n = 10 *n +i -'0'; return negative ? -n : n; } public long[] lg(int N){ return Util.arrL(N,i -> lg()); } public long[][] lg(int H,int W){ return Util.arr(new long[H][],i -> lg(W)); } public double dbl(){ String str = str(); return Double.parseDouble(str); } public double[] dbl(int N){ return Util.arrD(N,i -> dbl()); } public double[][] dbl(int H,int W){ return Util.arr(new double[H][],i -> dbl(W)); } public char[] ch(){ return str().toCharArray(); } public char[][] ch(int H){ return Util.arr(new char[H][],i -> ch()); } public String line(){ StringBuilder sb = new StringBuilder(); for (byte c;(c = read()) != '\n';) sb.append((char) c); return sb.toString(); } public String str(){ StringBuilder sb = new StringBuilder(); sb.append((char) nextPrintable()); for (byte c;isPrintable(c = read());) sb.append((char) c); return sb.toString(); } public String[] str(int N){ return Util.arr(new String[N],i -> str()); } public String[][] str(int H,int W){ return Util.arr(new String[H][],i -> str(W)); } } class MyWriter{ private OutputStream out; private byte[] buf = new byte[1 <<16],ibuf = new byte[20]; private int tail; private boolean autoflush; public MyWriter(OutputStream out,boolean autoflush){ this.out = out; this.autoflush = autoflush; } public void flush(){ try { out.write(buf,0,tail); tail = 0; } catch (IOException e) { e.printStackTrace(); } } private void write(byte b){ buf[tail++] = b; if (tail == buf.length) flush(); } private void write(long n){ if (n < 0) { n = -n; write((byte) '-'); } int i = ibuf.length; do { ibuf[--i] = (byte) (n %10 +'0'); n /= 10; } while (n > 0); while (i < ibuf.length) write(ibuf[i++]); } private void print(Object obj){ if (obj instanceof Boolean) print((boolean) obj ? Util.yes : Util.no); else if (obj instanceof Integer) write((int) obj); else if (obj instanceof Long) write((long) obj); else if (obj instanceof char[]) for (char b:(char[]) obj) write((byte) b); else if (obj.getClass().isArray()) { int l = Array.getLength(obj); for (int i = 0;i < l;i++) { print(Array.get(obj,i)); if (i +1 < l) write((byte) ' '); } } else print(Objects.toString(obj).toCharArray()); } public void println(Object obj){ if (obj == null) obj = "null"; if (obj instanceof Iterable) for (Object e:(Iterable) obj) println(e); else if (obj.getClass().isArray() && Array.getLength(obj) > 0 && Array.get(obj,0).getClass().isArray()) { int l = Array.getLength(obj); for (int i = 0;i < l;i++) println(Array.get(obj,i)); } else { print(obj); write((byte) '\n'); if (autoflush) flush(); } } public void printlns(Object... obj){ print(obj); write((byte) '\n'); if (autoflush) flush(); } }