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230309904 = 243113711789
BaseRepresentation
bin11011011101001…
…00000000010000
3121001100221210110
431232210000100
5432424404104
634504201320
75464413306
oct1556440020
9531327713
10230309904
11109005270
1265169240
133893a366
1422832276
1515344e89
hexdba4010

230309904 has 80 divisors (see below), whose sum is σ = 666653760. Its totient is φ = 67898880.

The previous prime is 230309899. The next prime is 230309929. The reversal of 230309904 is 409903032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13642 + ... + 25430.

It is an arithmetic number, because the mean of its divisors is an integer number (8333172).

Almost surely, 2230309904 is an apocalyptic number.

230309904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230309904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333326880).

230309904 is an abundant number, since it is smaller than the sum of its proper divisors (436343856).

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

230309904 is a wasteful number, since it uses less digits than its factorization.

230309904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 230309904 is about 15175.9646810343. The cubic root of 230309904 is about 612.9676264520.

The spelling of 230309904 in words is "two hundred thirty million, three hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 11789 19536 23578 35367 47156 70734 94312 129679 141468 188624 259358 282936 389037 436193 518716 565872 778074 872386 1037432 1308579 1556148 1744772 2074864 2617158 3112296 3489544 4798123 5234316 6224592 6979088 9596246 10468632 14394369 19192492 20937264 28788738 38384984 57577476 76769968 115154952 230309904