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23324 = 227317
BaseRepresentation
bin101101100011100
31011222212
411230130
51221244
6255552
7125000
oct55434
934885
1023324
1116584
12115b8
13a802
148700
156d9e
hex5b1c

23324 has 24 divisors (see below), whose sum is σ = 50400. Its totient is φ = 9408.

The previous prime is 23321. The next prime is 23327. The reversal of 23324 is 42332.

23324 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (23321) and next prime (23327).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a d-powerful number, because it can be written as 23 + 35 + 38 + 27 + 47 .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 23299 and 23308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321) 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, 1364 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

223324 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 23324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

23324 is an abundant number, since it is smaller than the sum of its proper divisors (27076).

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

23324 is a wasteful number, since it uses less digits than its factorization.

23324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 26 counting only the distinct ones).

The product of its digits is 144, while the sum is 14.

The square root of 23324 is about 152.7219696049. The cubic root of 23324 is about 28.5715857134.

Adding to 23324 its reverse (42332), we get a palindrome (65656).

The spelling of 23324 in words is "twenty-three thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 3332 5831 11662 23324