Broken Numbers

Number Theory Level pending

A natural number is said to be broken if all the numbers formed by starting from the leftmost digit of n n divide n n .

For example- 2400 2400 is broken as 2 , 24 , 240 , 2400 2, 24, 240, 2400 all divide 2400 2400 .

Find the number of 3-digit broken numbers.


The answer is 48.

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