#include #include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = uint32_t; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; vector get_prime(int n) { if(n <= 1) return vector{}; vector is_composite(n+1); vector 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 vector prime_factor(T n){ vector 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 v; for (auto &&i : p) { v[i]++; } for (auto &&j : v) { j.second *= k; } vector> u(v.begin(),v.end()); vector ans{1}; for (int i = 0; i < u.size(); ++i) { ll val = 1; vector 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; }