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230432004 = 2232113715727
BaseRepresentation
bin11011011110000…
…01110100000100
3121001121011021200
431233001310010
5432442311004
634510542500
75465432265
oct1557016404
9531534250
10230432004
11109088a80
1265207a30
1338980aca
142286496c
151536b239
hexdbc1d04

230432004 has 72 divisors (see below), whose sum is σ = 652649088. Its totient is φ = 67936320.

The previous prime is 230432003. The next prime is 230432011. The reversal of 230432004 is 400234032.

230432004 is a `hidden beast` number, since 230 + 432 + 0 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230432003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6789 + ... + 22515.

Almost surely, 2230432004 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 230432004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326324544).

230432004 is an abundant number, since it is smaller than the sum of its proper divisors (422217084).

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

230432004 is a wasteful number, since it uses less digits than its factorization.

230432004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230432004 is about 15179.9869565161. The cubic root of 230432004 is about 613.0759299792.

Adding to 230432004 its reverse (400234032), we get a palindrome (630666036).

It can be divided in two parts, 230 and 432004, that added together give a palindrome (432234).

The spelling of 230432004 in words is "two hundred thirty million, four hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 15727 31454 47181 62908 94362 141543 172997 188724 283086 345994 518991 566172 581899 691988 1037982 1163798 1556973 1745697 2075964 2327596 3113946 3491394 5237091 6227892 6400889 6982788 10474182 12801778 19202667 20948364 25603556 38405334 57608001 76810668 115216002 230432004