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230134032 = 24321794009
BaseRepresentation
bin11011011011110…
…01000100010000
3121001001000112200
431231321010100
5432403242112
634500323200
75463051462
oct1555710420
9531030480
10230134032
111089a5117
12650a3500
13388a82ab
14227c8132
151530ccdc
hexdb79110

230134032 has 60 divisors (see below), whose sum is σ = 681948540. Its totient is φ = 72198144.

The previous prime is 230134027. The next prime is 230134081. The reversal of 230134032 is 230431032.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 158155776 = 8484^2 + 12576^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 230133996 and 230134014.

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 11 ways as a sum of consecutive naturals, for example, 44557 + ... + 49452.

It is an arithmetic number, because the mean of its divisors is an integer number (11365809).

Almost surely, 2230134032 is an apocalyptic number.

It is an amenable number.

230134032 is an abundant number, since it is smaller than the sum of its proper divisors (451814508).

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

230134032 is a wasteful number, since it uses less digits than its factorization.

230134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94040 (or 94031 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230134032 is about 15170.1691486944. The cubic root of 230134032 is about 612.8115594990.

Adding to 230134032 its reverse (230431032), we get a palindrome (460565064).

The spelling of 230134032 in words is "two hundred thirty million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 94009 188018 282027 376036 564054 752072 846081 1128108 1504144 1598153 1692162 2256216 3196306 3384324 4512432 4794459 6392612 6768648 9588918 12785224 13537296 14383377 19177836 25570448 28766754 38355672 57533508 76711344 115067016 230134032