215 = 32, 768. How many numbers between 0 and 215 are the sum of exactly three powers of 8? Each power must be a natural number. Natural numbers are the non-negative integers (0, 1, 2, 3, .). The powers need not be distict. For example, 10 is one such number because 10 = 8' + 80 + 8° = 8+1+1 and 521 is another such number because 521 = 83 + 8' + 8° 512 + 8+1. Reduce your answer to an integer and explain your answer.

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