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234601021344 = 25319709181409
BaseRepresentation
bin1101101001111101001…
…1110111111110100000
3211102112202012200121110
43122133103313332200
512320430330140334
6255435122023320
722643426531154
oct3323723677640
9742482180543
10234601021344
1190548184708
12395734a7b40
131917999b3c1
14b4d7611064
156180e93ae9
hex369f4f7fa0

234601021344 has 96 divisors (see below), whose sum is σ = 649157544000. Its totient is φ = 73979633664.

The previous prime is 234601021331. The next prime is 234601021379. The reversal of 234601021344 is 443120106432.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1202512 + ... + 1383920.

It is an arithmetic number, because the mean of its divisors is an integer number (6762057750).

Almost surely, 2234601021344 is an apocalyptic number.

234601021344 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 234601021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324578772000).

234601021344 is an abundant number, since it is smaller than the sum of its proper divisors (414556522656).

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

234601021344 is a wasteful number, since it uses less digits than its factorization.

234601021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182150 (or 182142 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 234601021344 its reverse (443120106432), we get a palindrome (677721127776).

The spelling of 234601021344 in words is "two hundred thirty-four billion, six hundred one million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 709 912 1418 1824 2127 2836 4254 5672 8508 11344 13471 17016 22688 26942 34032 40413 53884 68064 80826 107768 161652 181409 215536 323304 362818 431072 544227 646608 725636 1088454 1293216 1451272 2176908 2902544 3446771 4353816 5805088 6893542 8707632 10340313 13787084 17415264 20680626 27574168 41361252 55148336 82722504 110296672 128618981 165445008 257237962 330890016 385856943 514475924 771713886 1028951848 1543427772 2057903696 2443760639 3086855544 4115807392 4887521278 6173711088 7331281917 9775042556 12347422176 14662563834 19550085112 29325127668 39100170224 58650255336 78200340448 117300510672 234601021344