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# Sum Of Digits is 43 Puzzle

## The Puzzle:

I am thinking of a 6-digit number. The sum of the digits is 43.

And **only two** of the following three statements about the number are true:

(1) it's a square number,

(2) it's a cube number, and

(3) the number is under 500000.

Do you have the answer? Check against our solution!