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There are 9 digits in the numbers from 1 to 9.

There are 180 digits in the numbers from 10 to 99 (2 x 90).

There are 441 digits in the numbers from 100 to 246 (3 x 147).

Therefore, the last number David wrote before stopping to rest is 246.

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Q: David is writing the numbers from 1 to 1000. He stopped to rest after writing 630 digits. What is the last number he wrote?
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