from heapq import *
n,k,m=map(int,input().split())
if n==1:
    print(1)
    exit()
tei=[]
sis=[]
cnt=0
while n%2==0:
    n//=2
    cnt+=1
if cnt:
    tei=[2]
    sis=[cnt*k]
i=3
while i**2<=n:
    cnt=0
    while n%i==0:
        cnt+=1
        n//=i
    if cnt:
        tei+=[i]
        sis+=[cnt*k]
    i+=2
if n>1:
    tei+=[n]
    sis+=[k]
#print(sis)
#print(tei)
kos=len(tei)
hp=[]
a=[0]*kos
heappush(hp,[1]+a)
used=set()
used.add(tuple(a))
cnt=0
while 1:
    y,*a=heappop(hp)
    if y>m:break
    for i in range(kos):
        if a[i]==sis[i]:continue
        ny=y*tei[i]
        na=a[:]
        na[i]+=1
        ta=tuple(na)
        if ta in used:continue
        heappush(hp,[ny]+na)
        used.add(ta)
    cnt+=1
print(cnt)