No; it can be divided by 2 and 576.
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1152 has only two prime factors: 2, 3
1152 numbers are coprime with 3230 and smaller than it.
1152 = MCLII
Add up the digits of 1152. We have 1+1+5+2=9. Now since 9 is a multiple of 3 we know that 3 goes into 1152 evenly. Of course this works for all numbers. If the sum of the digits is a multiple of 3, then the number is evenly divisible by 3. Other numbers that 1152 is divisible by: 2, 4, 8, 16, 32, 64, 128, and of course 1 and 1152.
The smallest integer is 2.There is no smallest number. Dividing 1152 by any number of the form x = 1/(2k2) where k is an integer will result in a perfect square. Since there is no limit to how large k can be, there is no limit to how small x can be.