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24204 = 2232017
BaseRepresentation
bin101111010001100
31020012110
411322030
51233304
6304020
7130365
oct57214
936173
1024204
1117204
1212010
13b02b
148b6c
157289
hex5e8c

24204 has 12 divisors (see below), whose sum is σ = 56504. Its totient is φ = 8064.

The previous prime is 24203. The next prime is 24223. The reversal of 24204 is 40242.

24204 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2017 = 24204 / (2 + 4 + 2 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 24204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24203) 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, 997 + ... + 1020.

224204 is an apocalyptic number.

It is an amenable number.

24204 is an abundant number, since it is smaller than the sum of its proper divisors (32300).

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 (28252).

24204 is a wasteful number, since it uses less digits than its factorization.

24204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 24204 is about 155.5763478168. The cubic root of 24204 is about 28.9264884079.

Adding to 24204 its reverse (40242), we get a palindrome (64446).

The spelling of 24204 in words is "twenty-four thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 2017 4034 6051 8068 12102 24204