Given that n △ 2 is a perfect square number and N △ 3 is a cubic number, what is the minimum value of N?

Given that n △ 2 is a perfect square number and N △ 3 is a cubic number, what is the minimum value of N?

N △ 2 is a perfect square,
SO 2 is the prime factor of n
N △ 3 is a cubic number
There are at least three 2's in n
N △ 3 is a cubic number
So 3 is the prime factor of n
N △ 2 is a perfect square number
There are at least four 3's in n
The minimum value of n is 3 ^ 4 + 2 ^ 3 = 648