#include using namespace std; typedef long long ll; #define F first #define S second #define pii pair #define eb emplace_back #define all(v) v.begin(), v.end() #define rep(i, n) for (int i = 0; i < n; ++i) #define rep3(i, l, n) for (int i = l; i < n; ++i) #define chmax(a, b) a = max(a, b) #define chmin(a, b) a = min(a, b) #define out(a) cout << a << endl #define SZ(v) (int)v.size() using pil = vector >; vector > prime_factorize(int n) { int tmp = n; vector > v; for (int i = 2; i * i <= n; ++i) { ll cnt = 0; while (tmp % i == 0) { tmp /= i; cnt++; } if (cnt) v.eb(i, cnt); } if (tmp != 1) v.eb(tmp, 1); return v; } int n, k, m; int dfs(pil v, int dep, ll product) { if (dep == SZ(v)) return 1; //その素因数を何個とるか int res = 0; rep(i, v[dep].S + 1) { ll tmp = product * pow(v[dep].F, i); //out(dep << " " << product << " " << tmp); if (tmp > m) break; res += dfs(v, dep + 1, tmp); } return res; } int main() { cin >> n >> k >> m; pil v = prime_factorize(n); //rep(i, SZ(v)) out(v[i].F << " " << v[i].S); rep(i, SZ(v)) v[i].S *= k; //rep(i, SZ(v)) out(v[i].F << " " << v[i].S); out(dfs(v, 0, 1)); } /* M ≤ 10^9 N 2 * 3 * 5 * ... * 23 2^9 2^3 * 3^3 * 5^3 * 7^3 4^4 = 2^8 枝刈りすれば計算量大丈夫そう? */