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PUZZLET 162

Squares with Embedded Roots

577600 is the square of 760, and 760 is embedded in 577600. Find any other integers less than 10^10 with this property. Roots must be within their squares and not at one end. Thus, 376 and its square 141376 appear at first sight to meet the requirement, but fail because 376 is at one end of its square and not embedded in the inside of it.

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