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230138384 = 24717120871
BaseRepresentation
bin11011011011110…
…10001000010000
3121001001020111212
431231322020100
5432403412014
634500355252
75463100250
oct1555721020
9531036455
10230138384
111089a8413
12650a5b28
13388aa278
14227c9960
151530e23e
hexdb7a210

230138384 has 40 divisors (see below), whose sum is σ = 539572608. Its totient is φ = 92828160.

The previous prime is 230138369. The next prime is 230138429. The reversal of 230138384 is 483831032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230138384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58532 + ... + 62339.

Almost surely, 2230138384 is an apocalyptic number.

It is an amenable number.

230138384 is an abundant number, since it is smaller than the sum of its proper divisors (309434224).

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

230138384 is a wasteful number, since it uses less digits than its factorization.

230138384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120903 (or 120897 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 230138384 is about 15170.3125874189. The cubic root of 230138384 is about 612.8154223770.

The spelling of 230138384 in words is "two hundred thirty million, one hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 120871 241742 483484 846097 966968 1692194 1933936 2054807 3384388 4109614 6768776 8219228 13537552 14383649 16438456 28767298 32876912 57534596 115069192 230138384