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3252768 = 253311093
BaseRepresentation
bin1100011010001000100000
320010020221220
430122020200
51313042033
6153415040
736435201
oct14321040
96106856
103252768
111921942
12110a480
1389b71c
146095a8
15443bb3
hex31a220

3252768 has 48 divisors (see below), whose sum is σ = 8822016. Its totient is φ = 1048320.

The previous prime is 3252761. The next prime is 3252773. The reversal of 3252768 is 8672523.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3252761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2430 + ... + 3522.

It is an arithmetic number, because the mean of its divisors is an integer number (183792).

Almost surely, 23252768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411008).

3252768 is an abundant number, since it is smaller than the sum of its proper divisors (5569248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3252768 is a wasteful number, since it uses less digits than its factorization.

3252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3252768 is about 1803.5431794110. The cubic root of 3252768 is about 148.1668437394.

The spelling of 3252768 in words is "three million, two hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1093 1488 2186 2976 3279 4372 6558 8744 13116 17488 26232 33883 34976 52464 67766 101649 104928 135532 203298 271064 406596 542128 813192 1084256 1626384 3252768