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The number 12 is exactly divisible by six numbers (i.e. 1, 2, 3, 4, 6, and 12). ...

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The number 12 is exactly divisible by six numbers (i.e. 1, 2, 3, 4, 6, and 12). The number 243 is also exactly divisible by six numbers (i.e. 1, 3, 9, 27, 81 and 243).

Starting with the number 1, determine the 880th number that is exactly divisible by six numbers.

Note that:

  • the number 12 is the first number that is exactly divisible by six numbers.
  • the number 243 is the 32nd number that is exactly divisible by six numbers
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