// https://codeforces.com/blog/entry/96344 //#pragma GCC optimize("O3,unroll-loops") //#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") #include using namespace std; using ll = long long; using u32 = unsigned int; using u64 = unsigned long long; #if __cplusplus >= 202002L using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; #endif template bool chmax(T& a, const T& b) { bool res = a < b; a = max(a, b); return res; } template bool chmin(T& a, const T& b){ bool res = a > b; a = min(a, b); return res; } typedef vector vl; typedef pair pll; typedef vector> vll; typedef vector vi; typedef vector> vii; typedef pair pii; const int inf = 1000000009; const ll linf = 4000000000000000009; // https://trap.jp/post/1224/ template void input(T&... a){ (cin >> ... >> a); } void print(){ cout << '\n'; } template void print(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T x, T y) { return floor(x + y - 1, y); } int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(ll x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } int popcnt_mod_2(int x) { return __builtin_parity(x); } int popcnt_mod_2(u32 x) { return __builtin_parity(x); } int popcnt_mod_2(ll x) { return __builtin_parityll(x); } int popcnt_mod_2(u64 x) { return __builtin_parityll(x); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template T SUM(const vector &A){ T ret = 0; for (auto &&a: A) ret += a; return ret; } #define rep1(a) for(int i = 0; i < a; i++) #define rep2(i, a) for(int i = 0; i < a; i++) #define rep3(i, a, b) for(int i = a; i < b; i++) #define rep4(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i, a, b) for(int i = a; i >= b; i--) #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second #define all(v) v.begin(), v.end() //--------------------------------- const ll MOD = 998244353; vector factorize(ll n) { vector res; for(int i = 2; i*i <= n; i++){ if(n%i == 0){ ll cnt = 0; while(n%i==0){ cnt++; n /= i; } res.push_back(mp(i, cnt)); } } if(n > 1) res.push_back(mp(n, 1)); return res; } void solve(){ ll N; cin >> N; ll ans = 0; unordered_map cnt; rep(i, 2, N+1) { auto facts = factorize(i); for(auto [f, num]: facts) cnt[f] += num; } vl states(N+1, 1); for(auto [f, num]: cnt){ for(int i = 1; num / i > 0; i++){ states[i] *= num / i + 1; states[i] %= MOD; } } rep(i, N+1){ ans += states[i] - 1; ans %= MOD; } print(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(0); int t = 1; //cin >> t; rep(i,0,t) solve(); }