#include using namespace std; using ll = long long; struct Edge { ll to; ll cost; }; using Graph = vector>; using P = pair; #define mp make_pair #define REP(i, n) for (int i = 0; i < (n); ++i) #define SORT(v) sort((v).begin(), (v).end()) #define RSORT(v) sort((v).rbegin(), (v).rend()) #define ALL(v) (v).begin(), v.end() ll MOD = 998244353; const ll nmax = 8; const ll INF = 1e10; const int MAX = 510000; bool graph[nmax][nmax]; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } vector> dist = vector>(nmax, vector(nmax, INF)); void warshall_floyd(ll n) { for (size_t i = 0; i < n; i++) { for (size_t j = 0; j < n; j++) { for (size_t k = 0; k < n; k++) { dist[j][k] = min(dist[j][k], dist[j][i] + dist[i][k]); } } } } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll lcm(ll a, ll b) { ll g = gcd(a, b); return a / g * b; } ll mulMod(ll a, ll b) { return (((a % MOD) * (b % MOD)) % MOD); } ll powMod(ll a, ll p) { if (p == 0) { return 1; } else if (p % 2 == 0) { ll half = powMod(a, p / 2); return mulMod(half, half); } else { return mulMod(powMod(a, p - 1), a); } } ll ceil(ll a, ll b) { return (a + b - 1) / b; } bool isPrime(ll N) { for (int i = 2; i * i <= N; i++) { if (N % i == 0) return false; } return true; } vector> prime_factorize(long long n) { vector> res; for (long long p = 2; p * p <= n; ++p) { if (n % p != 0) continue; int num = 0; while (n % p == 0) { ++num; n /= p; } res.push_back(make_pair(p, num)); } if (n != 1) res.push_back(make_pair(n, 1)); return res; } int main() { ll N; cin >> N; ll ans = 1; bool isFirst = true; map prime; for (int i = N; i >= 1; i--) { if (isFirst && isPrime(i)) { isFirst = false; } else { vector

ret = prime_factorize(i); for (auto &&i : ret) { prime[i.first] = max(prime[i.first], i.second); } } } for (auto &&i : prime) { ans = mulMod(ans, powMod(i.first, i.second)); } cout << ans << endl; return 0; }