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28344 = 2331181
BaseRepresentation
bin110111010111000
31102212210
412322320
51401334
6335120
7145431
oct67270
942783
1028344
111a328
12144a0
13cb94
14a488
1585e9
hex6eb8

28344 has 16 divisors (see below), whose sum is σ = 70920. Its totient is φ = 9440.

The previous prime is 28319. The next prime is 28349. The reversal of 28344 is 44382.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 28344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28349) by changing a digit.

28344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 567 + ... + 614.

228344 is an apocalyptic number.

28344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28344 is an abundant number, since it is smaller than the sum of its proper divisors (42576).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35460).

28344 is a wasteful number, since it uses less digits than its factorization.

28344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 28344 is about 168.3567640459. The cubic root of 28344 is about 30.4897394493.

The spelling of 28344 in words is "twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1181 2362 3543 4724 7086 9448 14172 28344