#include #include #define rep(i, a, b) for (ll i = (ll)(a); i < (ll)(b); i++) using namespace atcoder; using namespace std; typedef long long ll; template struct AllPairOperationSum { // https://shakayami.hatenablog.com/entry/2021/01/01/044946 // Σ op(a[i], a[j]) (i < j) ll n; vector a; AllPairOperationSum() {} AllPairOperationSum(vector a) : a(a), n(a.size()) {} T floor() { // floor(A / B) // O(N √maxA log maxA) T maxa = *max_element(a.begin(), a.end()); T sqrtmaxa = sqrt(maxa); vector v(sqrtmaxa, 0); fenwick_tree ft(maxa + 1); T ret = 0; rep(i, 0, n) { if (a[i] < sqrtmaxa) { ret += v[a[i]]; } else { for (T k = 0; k < maxa + 1; k += a[i]) { ret += (k / a[i]) * ft.sum(k, std::min(k + a[i], maxa + 1)); } } ft.add(a[i], 1); for (T j = 1; j < sqrtmaxa; j++) { v[j] += a[i] / j; } } return ret; } }; int main() { ll n; cin >> n; vector a(n); rep(i, 0, n) a[i] = i + 1; reverse(a.begin(), a.end()); AllPairOperationSum op(a); ll ans = op.floor() + n; ans %= 998244353; cout << ans << endl; }