#include using namespace std; #include using namespace atcoder; #define rep(i, n) for(int i=0;i<(n);++i) #define rep1(i, n) for(int i=1;i<=(n);i++) #define ll long long using mint = modint998244353; using P = pair; using lb = long double; using T = tuple; #ifdef LOCAL # include # define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define dbg(...) (static_cast(0)) #endif int main() { int n, m; cin >> n >> m; vector> ps; for(int i=2;i*i<=m;i++){ if(m%i) continue; ps.emplace_back(i,0); while(m%i==0){ ps.back().second++; m/=i; } } mint ans = 0; int N = ps.size(); rep(i,1<>j&1) { now *= ps[j].second; } else{ now *= ps[j].second+1; } } if(__builtin_popcount(i)%2==0) ans += now.pow(n); else ans -= now.pow(n); } cout << ans.val() << endl; return 0; }