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24324 = 2232027
BaseRepresentation
bin101111100000100
31020100220
411330010
51234244
6304340
7130626
oct57404
936326
1024324
1117303
12120b0
13b0c1
148c16
157319
hex5f04

24324 has 12 divisors (see below), whose sum is σ = 56784. Its totient is φ = 8104.

The previous prime is 24317. The next prime is 24329. The reversal of 24324 is 42342.

It is a happy number.

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

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

24324 is a modest number, since divided by 324 gives 24 as remainder.

It is not an unprimeable number, because it can be changed into a prime (24329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1002 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

224324 is an apocalyptic number.

It is an amenable number.

24324 is an abundant number, since it is smaller than the sum of its proper divisors (32460).

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 (28392).

24324 is a wasteful number, since it uses less digits than its factorization.

24324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2032 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 24324 is about 155.9615337191. The cubic root of 24324 is about 28.9742140982.

Adding to 24324 its reverse (42342), we get a palindrome (66666).

It can be divided in two parts, 243 and 24, that multiplied together give a cube (5832 = 183).

The spelling of 24324 in words is "twenty-four thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 2027 4054 6081 8108 12162 24324