1234 is the smallest four-digit number with increasing digits (A007908).
1234 is the number of digits in the 12th Fermat number (A057755).
1234 is 103102 in base 4. It is 14414 in base 5 and 5414 in base 6.
1234 is the number of ways to place three nonattacking bishops on a 3 x 8 board (A172207).
1234 has a representation as a sum of two squares: 1234 = 32 + 352.
Source: What's Special About This Number?
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