#include #include #include #include #include #include typedef int32_t i32; typedef int64_t i64; #define MAX(a,b) ((a)>(b)?(a):(b)) #define MIN(a,b) ((a)<(b)?(a):(b)) #define ABS(a) ((a)>(0)?(a):-(a)) #define ALLOC(size,type) ((type*)calloc((size),sizeof(type))) #define SORT(a,num,cmp) qsort((a),(num),sizeof(*(a)),cmp) i32 calc (i64 n, i64 m, i64 *p, i64 *a, i32 len) { if (n > m) return 0; i32 ans = 1; for (i32 i = 0; i < len; ++i) { i64 t = n * p[i]; i64 j = 1; while (t <= m && j <= a[i]) { ans += calc (t, m, p + i + 1, a + i + 1, len - i - 1); t *= p[i]; j++; } } return ans; } void run (void) { i64 n, k, m; scanf ("%" SCNi64 "%" SCNi64 "%" SCNi64, &n, &k, &m); i64 p[32], a[32]; i32 len = 0; for (i32 i = 2; i * i <= n; ++i) { if (n % i != 0) continue; p[len] = i; a[len] = 0; while (n % i == 0) { a[len]++; n /= i; } len++; } if (n > 1) { p[len] = n; a[len++] = 1; } for (i32 i = 0; i < len; ++i) { a[i] *= k; } i32 ans = calc (1, m, p, a, len); printf ("%" PRIi32 "\n", ans); } int main (void) { run(); return 0; }