M=998244353
h,w,k=map(int,input().split())
fa=[1]
for i in range(1,max(h,w)+1):
  fa+=[fa[-1]*i%M]
fb=[pow(v,M-2,M) for v in fa]
g=0
for i in range(1,int(k**0.5)+1):
  if k%i==0:
    if i<=h and k//i<=w:
      g+=fa[h]*fb[h-i]*fb[i]*fa[w]*fb[w-k//i]*fb[k//i]
      g%=M
    if k//i<=h and i<=w and i!=k//i:
      g+=fa[h]*fb[h-k//i]*fb[k//i]*fa[w]*fb[w-i]*fb[i]
      g%=M
print(g)