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230376 = 23329331
BaseRepresentation
bin111000001111101000
3102201000110
4320033220
524333001
64534320
71646436
oct701750
9381013
10230376
111480a3
12b13a0
1380b23
145dd56
15483d6
hex383e8

230376 has 32 divisors (see below), whose sum is σ = 597600. Its totient is φ = 73920.

The previous prime is 230369. The next prime is 230383. The reversal of 230376 is 673032.

230376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230369) and next prime (230383).

It is an Ulam number.

It is an unprimeable number.

230376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (18675).

2230376 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 230376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298800).

230376 is an abundant number, since it is smaller than the sum of its proper divisors (367224).

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

230376 is a wasteful number, since it uses less digits than its factorization.

230376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 230376 is about 479.9749993489. The cubic root of 230376 is about 61.3026258803.

Adding to 230376 its product of nonzero digits (756), we get a palindrome (231132).

It can be divided in two parts, 230 and 376, that added together give a palindrome (606).

The spelling of 230376 in words is "two hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 331 348 662 696 993 1324 1986 2648 3972 7944 9599 19198 28797 38396 57594 76792 115188 230376