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Puzzle - Hint

Can you find an eight digit number with the following property:

The first digit tells you how many zeros there are in the number.

The second digits tells you how many ones there are in the number.

The third digit tells you how many twos there are in the number, etc.

For example, with the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

What is the required eight digit number?

 [Ref: ZXQK]

Hint: The number begins with 4.

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