#include #define rep(i, n) for(int(i) = 0; (i) < (n); (i)++) #define FOR(i, m, n) for(int(i) = (m); (i) < (n); (i)++) #define ALL(v) (v).begin(), (v).end() #define LLA(v) (v).rbegin(), (v).rend() #define SZ(v) (v).size() #define INT(...) \ int __VA_ARGS__; \ read(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ read(__VA_ARGS__) #define DOUBLE(...) \ double __VA_ARGS__; \ read(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__) #define STRING(...) \ string __VA_ARGS__; \ read(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ read(name) using namespace std; using ll = long long; using pii = pair; using pll = pair; using Graph = vector>; template struct edge { int to; T cost; edge(int t, T c) : to(t), cost(c) {} }; template using WGraph = vector>>; const int INF = 1 << 30; const ll LINF = 1LL << 60; const int MOD = 1e9 + 7; template inline vector make_vec(size_t a, T val) { return vector(a, val); } template inline auto make_vec(size_t a, Ts... ts) { return vector(a, make_vec(ts...)); } void read() {} template inline void read(T &a) { cin >> a; } template inline void read(pair &p) { read(p.first), read(p.second); } template inline void read(vector &v) { for(auto &a : v) read(a); } template inline void read(Head &head, Tail &...tail) { read(head), read(tail...); } template inline void chmax(T &a, T b) { (a < b ? a = b : a); } template inline void chmin(T &a, T b) { (a > b ? a = b : a); } map prime_factor(ll n) { map ret; for(ll i = 2; i * i <= n; i++) { while(n % i == 0) { ret[i]++; n /= i; } } if(n != 1) ret[n] = 1; return ret; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); LL(n, k, m); auto factor = prime_factor(n); vector fac_v; for(auto &[a, b] : factor) { fac_v.emplace_back(a, b * k); } int fs = fac_v.size(); set se; auto dfs = [&](auto &&dfs, int cur, ll now) -> void { if(cur == fs) { se.insert(now); return; } ll c = 1; for(int j = 0; j <= fac_v[cur].second; j++) { if(now * c > m) break; dfs(dfs, cur + 1, now * c); c *= fac_v[cur].first; } }; dfs(dfs, 0, 1LL); cout << se.size() << endl; }