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23304 = 233971
BaseRepresentation
bin101101100001000
31011222010
411230020
51221204
6255520
7124641
oct55410
934863
1023304
1116566
12115a0
13a7b8
1486c8
156d89
hex5b08

23304 has 16 divisors (see below), whose sum is σ = 58320. Its totient is φ = 7760.

The previous prime is 23297. The next prime is 23311. The reversal of 23304 is 40332.

It is an interprime number because it is at equal distance from previous prime (23297) and next prime (23311).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 23304.

It is an unprimeable number.

23304 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, 462 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

223304 is an apocalyptic number.

23304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23304 is an abundant number, since it is smaller than the sum of its proper divisors (35016).

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 (29160).

23304 is a wasteful number, since it uses less digits than its factorization.

23304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23304 is about 152.6564770981. The cubic root of 23304 is about 28.5634168012.

Subtracting from 23304 its product of nonzero digits (72), we obtain a palindrome (23232).

Adding to 23304 its reverse (40332), we get a palindrome (63636).

The spelling of 23304 in words is "twenty-three thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 971 1942 2913 3884 5826 7768 11652 23304