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157330734 = 23112375857
BaseRepresentation
bin10010110000010…
…10110100101110
3101222001020012020
421120022310232
5310234040414
623340051010
73620201121
oct1130126456
9358036166
10157330734
1180899a00
1244833a66
1326797812
1416c763b8
15dc2b7a9
hex960ad2e

157330734 has 48 divisors (see below), whose sum is σ = 355275984. Its totient is φ = 46379520.

The previous prime is 157330727. The next prime is 157330751. The reversal of 157330734 is 437033751.

157330734 = 20732 + 20742 + ... + 21082.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 157330695 and 157330704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23934 + ... + 29790.

It is an arithmetic number, because the mean of its divisors is an integer number (7401583).

Almost surely, 2157330734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157330734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177637992).

157330734 is an abundant number, since it is smaller than the sum of its proper divisors (197945250).

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

157330734 is a wasteful number, since it uses less digits than its factorization.

157330734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 157330734 is about 12543.1548663006. The cubic root of 157330734 is about 539.8476181833.

It can be divided in two parts, 157 and 330734, that added together give a triangular number (330891 = T813).

The spelling of 157330734 in words is "one hundred fifty-seven million, three hundred thirty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 5857 8954 11714 13431 17571 26862 35142 64427 128854 193281 216709 386562 433418 650127 708697 1300254 1417394 2126091 2383799 4252182 4767598 7151397 14302794 26221789 52443578 78665367 157330734