#include<iostream>
#include<vector>
#include<algorithm>
using namespace std;
using ll = long long;

const ll MOD=998244353;

struct mint{
  ll val;
  mint(ll val_=0):val(val_%MOD){
    if(val<0) val+=MOD; 
  }

  mint operator-()const{
    return mint(-val);
  }
  mint& operator+=(const mint& other){
    val+=other.val;
    if(val>=MOD) val-=MOD;
    return *this;
  }
  mint& operator-=(const mint& other){
    val-=other.val;
    if(val<0) val+=MOD;
    return *this;
  }
  mint& operator*=(const mint& other){
    val*=other.val, val%=MOD;
    return *this;
  }
  mint pow(ll n) const{
    mint ans(1);
    mint mul(*this);
    while(n){
      if(n&1) ans*=mul;
      mul*=mul;
      n/=2;
    }
    return ans;
  }
  mint inv() const{
    return pow(MOD-2);
  }
  mint& operator/=(const mint& other){
    return *this*=other.inv();
  }

  friend bool operator==(const mint& lhs, const mint& rhs){
    return lhs.val == rhs.val;
  }
  friend bool operator!=(const mint& lhs, const mint& rhs){
    return lhs.val != rhs.val;
  }
  friend mint operator+(mint lhs, const mint& rhs) {
    lhs+=rhs;
    return lhs;
  }
  friend mint operator-(mint lhs, const mint& rhs) {
    lhs-=rhs;
    return lhs;
  }
  friend mint operator*(mint lhs, const mint& rhs) {
    lhs*=rhs;
    return lhs;
  }
  friend mint operator/(mint lhs, const mint& rhs) {
    lhs/=rhs;
    return lhs;
  }
  friend istream& operator>>(istream& is, mint& m) {
    ll x;
    is >> x;
    m=mint(x);
    return is;
  }
  friend ostream& operator<<(ostream& os, const mint& m) {
    return os << m.val;
  }
};

int main(void){
  ll n; cin >> n;
  ll last=n+1;
  mint ans=0;
  for(ll i=1; i*i<=n; i++){
    ll x=n/i;
    ans+=mint(x).pow(i);
    last=i;
  } 
  last++;
  for(ll i=last; i<=n;){
    ll x=n/i, r=n/x;
    if(x==1) ans+=r-i+1;
    else{
      mint a0=mint(x).pow(i);
      ans+=a0*(mint(1)-mint(x).pow(r-i+1))/(mint(1)-x);
    }
    i=r+1;
  }
  cout << ans << endl;
  return 0; 
}