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CHALLENGE #052

Find the number X ?

The product of the individual digits in "X" is 300 and their sum is 19.

The sum of X's prime factors is 30. When you add couple of twos to X, you get a prime number.

"X" can be expressed as sum of positive squares in 3 ways. The cube root of "X" by itself is a 2nd exponential power of a unit natural number and the square root of "X" by itself is a 3rd exponential power of thr same natural number.


Find "X" and the Prime Number


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