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12324 = 2231379
BaseRepresentation
bin11000000100100
3121220110
43000210
5343244
6133020
750634
oct30044
917813
1012324
119294
127170
1357c0
1446c4
1539b9
hex3024

12324 has 24 divisors (see below), whose sum is σ = 31360. Its totient is φ = 3744.

The previous prime is 12323. The next prime is 12329. The reversal of 12324 is 42321.

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

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

It is a d-powerful number, because it can be written as 1 + 25 + 3 + 213 + 46 .

12324 is a modest number, since divided by 324 gives 12 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323) 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, 117 + ... + 195.

212324 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 12324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680).

12324 is an abundant number, since it is smaller than the sum of its proper divisors (19036).

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

12324 is a wasteful number, since it uses less digits than its factorization.

12324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 12324 is about 111.0135126910. The cubic root of 12324 is about 23.0985063032.

Adding to 12324 its reverse (42321), we get a palindrome (54645).

The spelling of 12324 in words is "twelve thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 474 948 1027 2054 3081 4108 6162 12324