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231042768 = 243112979191
BaseRepresentation
bin11011100010101…
…10111011010000
3121002202012002120
431301112323100
5433121332033
634532014240
75503555035
oct1561267320
9532665076
10231042768
11109465940
1265461380
1338b35ac8
142298338c
151543c1b3
hexdc56ed0

231042768 has 160 divisors (see below), whose sum is σ = 685670400. Its totient is φ = 66393600.

The previous prime is 231042709. The next prime is 231042769. The reversal of 231042768 is 867240132.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231042769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209553 + ... + 1209743.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2231042768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

231042768 is an abundant number, since it is smaller than the sum of its proper divisors (454627632).

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

231042768 is a wasteful number, since it uses less digits than its factorization.

231042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 231042768 is about 15200.0910523589. The cubic root of 231042768 is about 613.6171082343.

The spelling of 231042768 in words is "two hundred thirty-one million, forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 79 87 88 116 132 158 174 176 191 232 237 264 316 319 348 382 464 474 528 573 632 638 696 764 869 948 957 1146 1264 1276 1392 1528 1738 1896 1914 2101 2291 2292 2552 2607 3056 3476 3792 3828 4202 4582 4584 5104 5214 5539 6303 6873 6952 7656 8404 9164 9168 10428 11078 12606 13746 13904 15089 15312 16617 16808 18328 20856 22156 25201 25212 27492 30178 33234 33616 36656 41712 44312 45267 50402 50424 54984 60356 60929 66468 75603 88624 90534 100804 100848 109968 120712 121858 132936 151206 165979 181068 182787 201608 241424 243716 265872 302412 331958 362136 365574 403216 437581 487432 497937 604824 663916 724272 731148 875162 974864 995874 1209648 1312743 1327832 1462296 1750324 1991748 2625486 2655664 2924592 3500648 3983496 4813391 5250972 7001296 7966992 9626782 10501944 14440173 19253564 21003888 28880346 38507128 57760692 77014256 115521384 231042768