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The Lazy Numbers

Let’s define by lazy numbers, those numbers which are constructed by consecutive digits.

For example 45 is lazy number. 789 is lazy number. 456789 is lazy number too.

Today I was analyzing the lazy numbers set, when I suddenly found such three-digit lazy number, which is exactly 2 less than a cube and 2 more than a square. By cube and square I define some random integer cube and square.

Can you found this number?

Can you prove it’s only one?

Publish your answer here - The Lazy Numbers

**Solved By: ****DArk0n3 **