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234370431120 = 24357191730399
BaseRepresentation
bin1101101001000110010…
…0001111100010010000
3211101221200022111021210
43122101210033202100
512314442312243440
6255400203420120
722634626536360
oct3322144174220
9741850274253
10234370431120
1190439aa8881
123950a224640
1319140c93597
14b4b4b489a0
15616aae5a80
hex369190f890

234370431120 has 160 divisors (see below), whose sum is σ = 834689433600. Its totient is φ = 53289838080.

The previous prime is 234370431059. The next prime is 234370431157. The reversal of 234370431120 is 21134073432.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 44320 + ... + 686079.

It is an arithmetic number, because the mean of its divisors is an integer number (5216808960).

Almost surely, 2234370431120 is an apocalyptic number.

234370431120 is a gapful number since it is divisible by the number (20) 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 234370431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417344716800).

234370431120 is an abundant number, since it is smaller than the sum of its proper divisors (600319002480).

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

234370431120 is a wasteful number, since it uses less digits than its factorization.

234370431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730613 (or 730607 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 234370431120 in words is "two hundred thirty-four billion, three hundred seventy million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 191 210 240 280 336 382 420 560 573 764 840 955 1146 1337 1528 1680 1910 2292 2674 2865 3056 3820 4011 4584 5348 5730 6685 7640 8022 9168 10696 11460 13370 15280 16044 20055 21392 22920 26740 32088 40110 45840 53480 64176 80220 106960 160440 320880 730399 1460798 2191197 2921596 3651995 4382394 5112793 5843192 7303990 8764788 10225586 10955985 11686384 14607980 15338379 17529576 20451172 21911970 25563965 29215960 30676758 35059152 40902344 43823940 51127930 58431920 61353516 76691895 81804688 87647880 102255860 122707032 139506209 153383790 175295760 204511720 245414064 279012418 306767580 409023440 418518627 558024836 613535160 697531045 837037254 976543463 1116049672 1227070320 1395062090 1674074508 1953086926 2092593135 2232099344 2790124180 2929630389 3348149016 3906173852 4185186270 4882717315 5580248360 5859260778 6696298032 7812347704 8370372540 9765434630 11160496720 11718521556 14648151945 15624695408 16740745080 19530869260 23437043112 29296303890 33481490160 39061738520 46874086224 58592607780 78123477040 117185215560 234370431120