###素因数分解### def prime_factorize(n: int) -> list: return_list = [] while n % 2 == 0: return_list.append(2) n //= 2 f = 3 while f * f <= n: if n % f == 0: return_list.append(f) n //= f else: f += 2 if n != 1: return_list.append(n) return return_list ###ある数が素数かどうかの判定### import math def is_prime(n): sqrt_n = math.ceil(math.sqrt(n)) for i in range(2, sqrt_n): if n % i == 0: return False return True ###N以下の素数列挙### import math def sieve_of_eratosthenes(n): prime = [True for i in range(n+1)] prime[0] = False prime[1] = False sqrt_n = math.ceil(math.sqrt(n)) for i in range(2, sqrt_n+1): if prime[i]: for j in range(2*i, n+1, i): prime[j] = False return prime ###N以上K以下の素数列挙### import math def segment_sieve(a, b): sqrt_b = math.ceil(math.sqrt(b)) prime_small = [True for i in range(sqrt_b)] prime = [True for i in range(b-a+1)] for i in range(2, sqrt_b): if prime_small[i]: for j in range(2*i, sqrt_b, i): prime_small[j] = False for j in range((a+i-1)//i*i, b+1, i): #print('j: ', j) prime[j-a] = False return prime ###n進数から10進数変換### def base_10(num_n,n): num_10 = 0 for s in str(num_n): num_10 *= n num_10 += int(s) return num_10 ###10進数からn進数変換### def base_n(num_10,n): str_n = '' while num_10: if num_10%n>=10: return -1 str_n += str(num_10%n) num_10 //= n return int(str_n[::-1]) ###複数の数の最大公約数、最小公倍数### from functools import reduce # 最大公約数 def gcd_list(num_list: list) -> int: return reduce(gcd, num_list) # 最小公倍数 def lcm_base(x: int, y: int) -> int: return (x * y) // gcd(x, y) def lcm_list(num_list: list): return reduce(lcm_base, num_list, 1) ###約数列挙### def make_divisors(n): lower_divisors, upper_divisors = [], [] i = 1 while i * i <= n: if n % i == 0: lower_divisors.append(i) if i != n // i: upper_divisors.append(n//i) i += 1 return lower_divisors + upper_divisors[::-1] ###順列### def nPr(n, r): npr = 1 for i in range(n, n-r, -1): npr *= i return npr ###組合せ### def nCr(n, r): factr = 1 r = min(r, n - r) for i in range(r, 1, -1): factr *= i return nPr(n, r)/factr import sys, re from math import ceil, floor, sqrt, pi, factorial, gcd from copy import deepcopy from collections import Counter, deque, defaultdict from heapq import heapify, heappop, heappush from itertools import accumulate, product, combinations, combinations_with_replacement, permutations from bisect import bisect, bisect_left, bisect_right from functools import reduce from decimal import Decimal, getcontext def i_input(): return int(input()) def i_map(): return map(int, input().split()) def i_list(): return list(i_map()) def i_row(N): return [i_input() for _ in range(N)] def i_row_list(N): return [i_list() for _ in range(N)] def s_input(): return input() def s_map(): return input().split() def s_list(): return list(s_map()) def s_row(N): return [s_input for _ in range(N)] def s_row_str(N): return [s_list() for _ in range(N)] def s_row_list(N): return [list(s_input()) for _ in range(N)] def lcm(a, b): return a * b // gcd(a, b) def get_distance(x1, y1, x2, y2): d = sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2) return d def rotate(table): n_fild = [] for x in zip(*table[::-1]): n_fild.append(x) return n_fild sys.setrecursionlimit(10 ** 7) INF = float('inf') MOD = 10 ** 9 + 7 MOD2 = 998244353 ###関数コピーしたか?### def main(): n, k, m = i_map() nums = prime_factorize(n) count = Counter(nums) for key, value in count.items(): count[key] *= k def dfs(score, rogo): if score > m: return else: ans.add(score) for i in nums: if rogo[i] + 1 > count[i]: continue rogo[i] += 1 dfs(score * i, rogo) rogo[i] -= 1 ans = set() rog = defaultdict(int) dfs(1, rog) #print(ans) print(len(ans)) if __name__ == '__main__': main()