// yukicoder: No.847 Divisors of Power // 2019.7.6 bal4u #include #include typedef long long ll; #define SIZE 50 int factor[SIZE], power[SIZE]; int sz; int ptbl[] = { 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 0 }; void prime_factor(int n) { int i, d; int *pp; if ((n & 1) == 0) { factor[sz] = 2; do n >>= 1, power[sz]++; while ((n & 1) == 0); sz++; } for (pp = ptbl; n > 1 && *pp > 0; pp++) { if (n % *pp) continue; d = *pp; factor[sz] = d; do n /= d, power[sz]++; while (n % d == 0); sz++; } if (n > 1) { int b = (int)sqrt((double)n); for (i = 1009; n > 1; i += 2) { if (i > b) { factor[sz] = n, power[sz++] = 1; break; } if (n % i == 0) { factor[sz] = i; do n /= i, power[sz]++; while (n % i == 0); sz++; } } } } int N, K, M; int a[1000000]; int maxp(int b, int p) { ll a = 1, t = (ll)p*K; int f = 0; while (t-- && a*b <= M) a *= b, f++; return f; } int main() { int i, j, k, n, m, ans; ll b; scanf("%d%d%d", &N, &K, &M); if (N == 1 || M == 1) { puts("1"); return 0; } prime_factor(N); for (i = 0; i < sz; i++) power[i] = maxp(factor[i], power[i]); a[0] = 1, n = 1; for (i = 0; i < sz; i++) { b = 1, m = n; for (j = 0; j < power[i]; j++) { b *= factor[i]; for (k = 0; k < m; k++) if (b*a[k] <= M) a[n++] = b*a[k]; } } printf("%d\n", n); return 0; }