Curious Numbers

There are 3 distinct 9-digit numbers which have the following characteristics:

  • The number is divisible by 9;
  • If we remove the last digit from one number, the remaining number is divisible by 8;
  • If we remove the last two digits from one number, the remaining number is divisible by 7;
  • And so on until we remove the last 8 digits, in which case the remaining number is divisible by 1.

What is the sum of 3 numbers?

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