Find the number of distinct positive divisors of $(30)^4$ excluding 1 and $(30)^4$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the number of distinct positive divisors of $(30)^4$ excluding 1 and $(30)^4$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
123
Find the number of distinct positive divisors of $(30)^4$ excluding 1 and $(30)^4$.
train