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157831344 = 243211372693
BaseRepresentation
bin10010110100001…
…01000010110000
3101222222122220100
421122011002300
5310401100334
623354512400
73624354456
oct1132050260
9358878810
10157831344
1181101030
1244a35700
1326911638
1416d669d6
15dcc9c99
hex96850b0

157831344 has 120 divisors (see below), whose sum is σ = 495070992. Its totient is φ = 46517760.

The previous prime is 157831337. The next prime is 157831357. The reversal of 157831344 is 443138751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157831299 and 157831308.

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, 57262 + ... + 59954.

Almost surely, 2157831344 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 157831344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247535496).

157831344 is an abundant number, since it is smaller than the sum of its proper divisors (337239648).

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

157831344 is a wasteful number, since it uses less digits than its factorization.

157831344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2746 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 157831344 is about 12563.0945232455. The cubic root of 157831344 is about 540.4195915794.

The spelling of 157831344 in words is "one hundred fifty-seven million, eight hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 2693 3256 3663 4884 5328 5386 6512 7326 8079 9768 10772 14652 16158 19536 21544 24237 29304 29623 32316 43088 48474 58608 59246 64632 88869 96948 99641 118492 129264 177738 193896 199282 236984 266607 298923 355476 387792 398564 473968 533214 597846 710952 797128 896769 1066428 1096051 1195692 1421904 1594256 1793538 2132856 2192102 2391384 3288153 3587076 4265712 4384204 4782768 6576306 7174152 8768408 9864459 13152612 14348304 17536816 19728918 26305224 39457836 52610448 78915672 157831344