#include #define int long long #define endl '\n' #define FOR(i, a, n) for (int i = (a); i < (n); ++i) #define REP(i, n) FOR(i, 0, n) using namespace std; // O(√n) time vector> prime_factor(int n) { vector> res; for (int i = 2; i * i <= n; i++) { int cnt = 0; while (n % i == 0) { n /= i; cnt++; } if (cnt) res.emplace_back(i, cnt); } if (n != 1) res.emplace_back(n, 1); return res; } int N, K, M; int dfs(int x, int idx, vector>& pf) { if (idx == pf.size()) return 1; int k = 1, res = 0; REP (i, pf[idx].second * K + 1) { res += dfs(x * k, idx + 1, pf); k *= pf[idx].first; if (x > M / k) break; } return res; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> N >> K >> M; auto pf = prime_factor(N); cout << dfs(1, 0, pf) << endl; }