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238344 = 2339931
BaseRepresentation
bin111010001100001000
3110002221120
4322030020
530111334
65035240
72011611
oct721410
9402846
10238344
11153087
12b5b20
1384642
1462c08
154a949
hex3a308

238344 has 16 divisors (see below), whose sum is σ = 595920. Its totient is φ = 79440.

The previous prime is 238339. The next prime is 238361. The reversal of 238344 is 443832.

238344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9931 = 238344 / (2 + 3 + 8 + 3 + 4 + 4).

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

It is an unprimeable number.

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, 4942 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (37245).

2238344 is an apocalyptic number.

238344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238344 is an abundant number, since it is smaller than the sum of its proper divisors (357576).

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

238344 is a wasteful number, since it uses less digits than its factorization.

238344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9936 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 238344 is about 488.2048750269. The cubic root of 238344 is about 62.0013874126.

The spelling of 238344 in words is "two hundred thirty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 9931 19862 29793 39724 59586 79448 119172 238344