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230584 = 23193741
BaseRepresentation
bin111000010010111000
3102201022011
4320102320
524334314
64535304
71650154
oct702270
9381264
10230584
11148272
12b1534
1380c53
1460064
15484c4
hex384b8

230584 has 32 divisors (see below), whose sum is σ = 478800. Its totient is φ = 103680.

The previous prime is 230567. The next prime is 230597. The reversal of 230584 is 485032.

230584 = T39 + T40 + ... + T112.

230584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

230584 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, 5604 + ... + 5644.

2230584 is an apocalyptic number.

230584 is the 304-th heptagonal number.

It is an amenable number.

230584 is an abundant number, since it is smaller than the sum of its proper divisors (248216).

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

230584 is a wasteful number, since it uses less digits than its factorization.

230584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 230584 is about 480.1916284152. The cubic root of 230584 is about 61.3210698018.

The spelling of 230584 in words is "two hundred thirty thousand, five hundred eighty-four".

Divisors: 1 2 4 8 19 37 38 41 74 76 82 148 152 164 296 328 703 779 1406 1517 1558 2812 3034 3116 5624 6068 6232 12136 28823 57646 115292 230584