Solve the mathematical puzzle.

Determine the digits of Z from these clues.

The fourth digit of Z is the largest prime factor of 35.
The first digit of Z is the smallest prime factor of 24, other than 1.
The last digit of Z plus the third digit of Z add to 12.
The second digit of Z is the largest prime factor of 6.

Z is a four-digit number.

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2,357
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