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332864 = 267743
BaseRepresentation
bin1010001010001000000
3121220121022
41101101000
541122424
611045012
72554310
oct1212100
9556538
10332864
112080a4
12140768
13b867c
1489440
156895e
hex51440

332864 has 28 divisors (see below), whose sum is σ = 755904. Its totient is φ = 142464.

The previous prime is 332851. The next prime is 332873. The reversal of 332864 is 468233.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×3328642 = 221596884992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 819.

2332864 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 332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377952).

332864 is an abundant number, since it is smaller than the sum of its proper divisors (423040).

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

332864 is an equidigital number, since it uses as much as digits as its factorization.

332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 332864 is about 576.9436714273. The cubic root of 332864 is about 69.3035703944.

The spelling of 332864 in words is "three hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 743 1486 2972 5201 5944 10402 11888 20804 23776 41608 47552 83216 166432 332864