1000 to 2999 inclusive so 2000 numbers.
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One-third of them
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In the number 35672, the digit 3 is in the hundred's place, which represents a value of 300. In the number 43980, the digit 3 is in the ten's place, which represents a value of 30. The difference in value of the digit 3 in these two numbers is 300 - 30 = 270.
3000 x 3 = 9000
There are only two. They are 13^3 = 1331 and 14^3 = 2744.