// #define DEBUGGING #include using namespace std; #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = vector; template using VV = V>; template using P = pair; using ll = int64_t; using ull = uint64_t; using PLL = P; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return max(low, min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(30); } } init_io; } #ifdef DEBUGGING #include "../debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { #define rec make_v(init, tail...) return V(s, rec); #undef rec } V pcnt; ll N, M, K; ll calc(ll pidx, ll now = 1) { if(pcnt.size() <= pidx) return 1; ll ret = calc(pidx + 1, now); ll p, cnt; tie(p, cnt) = pcnt[pidx]; for(ll i = 0; i < cnt * K; i++) { now *= p; if(M < now) break; ret += calc(pidx + 1, now); } return ret; } int main() { cin >> N >> K >> M; ll NN = N; for(ll i = 2; i * i <= N; i++) { ll cnt = 0; while(NN % i == 0) { NN /= i; cnt++; } if(cnt) pcnt.emplace_back(i, cnt); } if(NN > 1) pcnt.emplace_back(NN, 1); cout << calc(0) << endl; return 0; }