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24372 = 2232677
BaseRepresentation
bin101111100110100
31020102200
411330310
51234442
6304500
7131025
oct57464
936380
1024372
1117347
1212130
13b12a
148c4c
15734c
hex5f34

24372 has 18 divisors (see below), whose sum is σ = 61698. Its totient is φ = 8112.

The previous prime is 24371. The next prime is 24373. The reversal of 24372 is 27342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24371) and next prime (24373).

It can be written as a sum of positive squares in only one way, i.e., 24336 + 36 = 156^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 25 + 46 + 39 + 72 + 29 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303 + ... + 374.

224372 is an apocalyptic number.

It is an amenable number.

24372 is an abundant number, since it is smaller than the sum of its proper divisors (37326).

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

24372 is a wasteful number, since it uses less digits than its factorization.

24372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 682 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 24372 is about 156.1153419751. The cubic root of 24372 is about 28.9932604235.

The spelling of 24372 in words is "twenty-four thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372