#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vectorprime(n + 1, true); prime[0] = false; prime[1] = false; vectorprod; int maxe = 0; rep2(i, 2, n + 1) { if (!prime[i])continue; long long ci = i; int e = 0;// N!がprime[i]で何回割れるか while (n >= ci) { e += n / ci; ci *= i; } if (2 == i) { prod.resize(e + 1, 1); maxe = e; } rep2(j, 1, e + 1) { prod[j] *= e / j + 1; } for (int j = i * 2; j <= n; j += i) { prime[j] = false; } } mint ans = 0; rep2(i, 1, prod.size())ans += prod[i]; ans -= maxe; cout << ans.val() << endl; return 0; }