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23312 = 243147
BaseRepresentation
bin101101100010000
31011222102
411230100
51221222
6255532
7124652
oct55420
934872
1023312
1116573
12115a8
13a7c3
1486d2
156d92
hex5b10

23312 has 20 divisors (see below), whose sum is σ = 47616. Its totient is φ = 11040.

The previous prime is 23311. The next prime is 23321. The reversal of 23312 is 21332.

23312 is an admirable number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 23293 and 23302.

It is not an unprimeable number, because it can be changed into a prime (23311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 519.

223312 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 23312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808).

23312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

23312 is a wasteful number, since it uses less digits than its factorization.

23312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 36, while the sum is 11.

The square root of 23312 is about 152.6826774719. The cubic root of 23312 is about 28.5666849268.

Adding to 23312 its reverse (21332), we get a palindrome (44644).

The spelling of 23312 in words is "twenty-three thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 11656 23312