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234230760 = 233251738273
BaseRepresentation
bin11011111011000…
…01001111101000
3121022202011012100
431331201033220
5434430341020
635124213400
75542633341
oct1575411750
9538664170
10234230760
11110243045
126653a260
13396b0baa
14231730c8
151586ba90
hexdf613e8

234230760 has 96 divisors (see below), whose sum is σ = 806050440. Its totient is φ = 58785792.

The previous prime is 234230741. The next prime is 234230771. The reversal of 234230760 is 67032432.

234230760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 232440516 + 1790244 = 15246^2 + 1338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13017 + ... + 25256.

Almost surely, 2234230760 is an apocalyptic number.

234230760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234230760 is an abundant number, since it is smaller than the sum of its proper divisors (571819680).

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

234230760 is a wasteful number, since it uses less digits than its factorization.

234230760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38307 (or 38300 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 234230760 is about 15304.5993087046. The cubic root of 234230760 is about 616.4265121191.

The spelling of 234230760 in words is "two hundred thirty-four million, two hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 38273 76546 114819 153092 191365 229638 306184 344457 382730 459276 574095 650641 688914 765460 918552 1148190 1301282 1377828 1530920 1722285 1951923 2296380 2602564 2755656 3253205 3444570 3903846 4592760 5205128 5855769 6506410 6889140 7807692 9759615 11711538 13012820 13778280 15615384 19519230 23423076 26025640 29278845 39038460 46846152 58557690 78076920 117115380 234230760