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234323324312 = 237114159157253
BaseRepresentation
bin1101101000111011000…
…0100010110110011000
3211101211101200012220012
43122032300202312120
512314343232334222
6255351402021052
722633515251630
oct3321660426630
9741741605805
10234323324312
1190415453830
12394b64a7788
13191342ac02c
14b4ac7a56c0
1561668dd1e2
hex368ec22d98

234323324312 has 128 divisors (see below), whose sum is σ = 570643315200. Its totient is φ = 87557913600.

The previous prime is 234323324273. The next prime is 234323324351. The reversal of 234323324312 is 213423323432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (234323324273) and next prime (234323324351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411478 + ... + 1568730.

It is an arithmetic number, because the mean of its divisors is an integer number (4458150900).

Almost surely, 2234323324312 is an apocalyptic number.

234323324312 is a gapful number since it is divisible by the number (22) 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 234323324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285321657600).

234323324312 is an abundant number, since it is smaller than the sum of its proper divisors (336319990888).

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

234323324312 is a wasteful number, since it uses less digits than its factorization.

234323324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157377 (or 157373 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 234323324312 its reverse (213423323432), we get a palindrome (447746647744).

The spelling of 234323324312 in words is "two hundred thirty-four billion, three hundred twenty-three million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 59 77 82 88 118 154 164 236 287 308 328 413 451 472 574 616 649 826 902 1148 1298 1652 1804 2296 2419 2596 3157 3304 3608 4543 4838 5192 6314 9086 9676 12628 16933 18172 19352 25256 26609 33866 36344 53218 67732 106436 135464 157253 186263 212872 314506 372526 629012 745052 1100771 1258024 1490104 1729783 2201542 3459566 4403084 6447373 6919132 8806168 9277927 12108481 12894746 13838264 18555854 24216962 25789492 37111708 45131611 48433924 51578984 64945489 70921103 74223416 90263222 96867848 102057197 129890978 141842206 180526444 204114394 259781956 283684412 361052888 380395007 408228788 496447721 519563912 567368824 714400379 760790014 816457576 992895442 1428800758 1521580028 1985790884 2662765049 2857601516 3043160056 3971581768 4184345077 5325530098 5715203032 8368690154 10651060196 16737380308 21302120392 29290415539 33474760616 58580831078 117161662156 234323324312