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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Last Updated: January 15th, 2010.