#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll = long long;
using ld = long double;
ll intpow(ll a, ll b) {
    ll c = 1;
    while (b) {
        if (b & 1) c = (c * a) % 998244353;
        a *= a;
        a %= 998244353;
        b >>= 1;
    }
    return c % 998244353;
}
ll sums(ll a, ll r){
    if(r == 1){
        return 1;
    }
    if(r % 2 == 1){
        r--;
        ll ret = (sums(a,r/2) * (intpow(a,r/2)+ 1))% 998244353;
        ret += intpow(a,r);
        return ret % 998244353;
    }else{
        ll ret = (sums(a,r/2) * (intpow(a,r/2)+ 1))% 998244353;

        return ret;
    }
        
}

int main(){
    ll n;
    cin >> n;

    ll ans = 0;

    for(ll i = 1; i * i <= n; i++){
        ll a = n / i;
        ans += intpow(a,i);
        ans %= 998244353;
    }

    ll p = n;

    for(ll i = 1; i * i < n; i++){
        ll a = ll(n / (i+1)) + 1;
        if(i == 1)ans += p - a + 1;
        else{
            ll pows = intpow(i,a);
            ll r = p - a + 1;
            ll wa = sums(i,r);
            ans += (pows * wa)% 998244353;
        }
        ans %= 998244353;
        p = a - 1;
    }

    cout << ans << '\n';

    return 0;
}