#include <limits> #include <iostream> #include <algorithm> #include <iomanip> #include <map> #include <set> #include <queue> #include <stack> #include <numeric> #include <bitset> #include <cmath> static const int MOD = 1000000007; using ll = long long; using u32 = uint32_t; using namespace std; template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208; vector<int> get_prime(int n) { if(n <= 1) return vector<int>{}; vector<bool> is_composite(n+1); vector<int> prime; for (int i = 2; i <= n; ++i) { if(!is_composite[i]) prime.push_back(i); for (auto &&j : prime) { if((ll)i*j > n) continue; is_composite[i*j] = true; if(i % j == 0) break; } } return prime; } const auto primes = get_prime(65535); template<class T> vector<T> prime_factor(T n){ vector<T> res; for (auto &&i : primes) { while (n % i == 0){ res.emplace_back(i); n /= i; } } if(n != 1) res.emplace_back(n); return res; } int main() { int n, k, m; cin >> n >> k >> m; auto p = prime_factor(n); map<int, ll> v; for (auto &&i : p) { v[i]++; } for (auto &&j : v) { j.second *= k; } vector<pair<int, ll>> u(v.begin(),v.end()); vector<ll> ans{1}; for (int i = 0; i < u.size(); ++i) { ll val = 1; vector<ll> ans2, tmp; for (int j = 0; j <= u[i].second; ++j) { if(val > m) break; tmp.emplace_back(val); val *= u[i].first; } for (auto &&j : ans) { for (auto &&l : tmp) { if(j <= m && l <= m && j*l <= m) ans2.emplace_back(j*l); } } ans.swap(ans2); } cout << ans.size() << "\n"; return 0; }