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3252096 = 2733941
BaseRepresentation
bin1100011001111110000000
320010020001000
430121332000
51313031341
6153412000
736433221
oct14317600
96106030
103252096
111921391
12110a000
1389b323
14609248
154438b6
hex319f80

3252096 has 64 divisors (see below), whose sum is σ = 9608400. Its totient is φ = 1082880.

The previous prime is 3252091. The next prime is 3252121. The reversal of 3252096 is 6902523.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×32520962 = 21152256786432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2986 + ... + 3926.

Almost surely, 23252096 is an apocalyptic number.

3252096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804200).

3252096 is an abundant number, since it is smaller than the sum of its proper divisors (6356304).

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

3252096 is an equidigital number, since it uses as much as digits as its factorization.

3252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3252096 is about 1803.3568698402. The cubic root of 3252096 is about 148.1566396120.

The spelling of 3252096 in words is "three million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 941 1152 1728 1882 2823 3456 3764 5646 7528 8469 11292 15056 16938 22584 25407 30112 33876 45168 50814 60224 67752 90336 101628 120448 135504 180672 203256 271008 361344 406512 542016 813024 1084032 1626048 3252096