# Sum Of Digits is 43 Puzzle

## The Puzzle:

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

And

(1) it's a square number,

(2) it's a cube number, and

(3) the number is under 500000.

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.

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