H,W,K=map(int, input().split())
A=[]
ans=0;D={}

mod=998244353;n=10**6+100
inv_t=[0]+[1]
for i in range(2,n):
  inv_t+=[inv_t[mod%i]*(mod-int(mod/i))%mod]

kai=[1,1]
rev_kai=[1,inv_t[1]]
for i in range(2,n):
  kai.append(kai[-1]*i%mod)
  rev_kai.append(rev_kai[-1]*inv_t[i]%mod)

def cmb(n,r):
  return kai[n]*rev_kai[r]*rev_kai[n-r]%mod

for i in range(1,10**6+1):
  if K%i==0:
    a,b=i,K//i 
    if a not in D:
      D[a]=1
      if a<=H and b<=W:
        ans+=cmb(H,H-a)*cmb(W,W-b)
        ans%=mod 
    if b not in D:
      D[b]=1
      if a<=W and b<=H:
        ans+=cmb(H,H-b)*cmb(W,W-a)
        ans%=mod
print(ans)