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234310430304 = 253241151131413
BaseRepresentation
bin1101101000110111111…
…1010110111001100000
3211101210111102010122100
43122031333112321200
512314331432232204
6255350221410400
722633300540026
oct3321577267140
9741714363570
10234310430304
1190409147325
12394b2109a00
1319131716142
14b4aabaa716
1561656e2a39
hex368dfd6e60

234310430304 has 144 divisors (see below), whose sum is σ = 687097573344. Its totient is φ = 75693312000.

The previous prime is 234310430297. The next prime is 234310430317. The reversal of 234310430304 is 403034013432.

234310430304 is a `hidden beast` number, since 2 + 3 + 4 + 310 + 43 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 1717302 + ... + 1848714.

It is an arithmetic number, because the mean of its divisors is an integer number (4771510926).

Almost surely, 2234310430304 is an apocalyptic number.

234310430304 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 234310430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343548786672).

234310430304 is an abundant number, since it is smaller than the sum of its proper divisors (452787143040).

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

234310430304 is a wasteful number, since it uses less digits than its factorization.

234310430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131621 (or 131610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 234310430304 its reverse (403034013432), we get a palindrome (637344443736).

The spelling of 234310430304 in words is "two hundred thirty-four billion, three hundred ten million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 151 164 246 288 302 328 369 453 492 604 656 738 906 984 1208 1312 1359 1476 1812 1968 2416 2718 2952 3624 3936 4832 5436 5904 6191 7248 10872 11808 12382 14496 18573 21744 24764 37146 43488 49528 55719 74292 99056 111438 131413 148584 198112 222876 262826 297168 394239 445752 525652 594336 788478 891504 1051304 1182717 1576956 1783008 2102608 2365434 3153912 4205216 4730868 5387933 6307824 9461736 10775866 12615648 16163799 18923472 19843363 21551732 32327598 37846944 39686726 43103464 48491397 59530089 64655196 79373452 86206928 96982794 119060178 129310392 158746904 172413856 178590267 193965588 238120356 258620784 317493808 357180534 387931176 476240712 517241568 634987616 714361068 775862352 813577883 952481424 1428722136 1551724704 1627155766 1904962848 2440733649 2857444272 3254311532 4881467298 5714888544 6508623064 7322200947 9762934596 13017246128 14644401894 19525869192 26034492256 29288803788 39051738384 58577607576 78103476768 117155215152 234310430304