A four digit integer, plus 400, becomes the complete square of a natural number. How many such four digit numbers are there?

The four digit plus 400 ranges from 1400 to 10399
37^2-400=969
38^2-400=1044
101^2-400=9801
102^2-400=10004
The complete squares in this range are: 38 ^ 2, 39 ^ 2, 40 ^ 2 100^2、101^2
Total: 101-38 + 1 = 64

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