Search a number
-
+
155406342 = 23721373557
BaseRepresentation
bin10010100001101…
…01000000000110
3101211102110102110
421100311000012
5304241000332
623230521450
73564634500
oct1120650006
9354373373
10155406342
117a7a50a3
1244066286
1326272920
14168d4d70
15d99b4cc
hex9435006

155406342 has 96 divisors (see below), whose sum is σ = 395412192. Its totient is φ = 40352256.

The previous prime is 155406323. The next prime is 155406373. The reversal of 155406342 is 243604551.

It is a super-2 number, since 2×1554063422 = 48302262267641928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278728 + ... + 279284.

It is an arithmetic number, because the mean of its divisors is an integer number (4118877).

Almost surely, 2155406342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155406342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197706096).

155406342 is an abundant number, since it is smaller than the sum of its proper divisors (240005850).

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

155406342 is a wasteful number, since it uses less digits than its factorization.

155406342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 155406342 is about 12466.2080040404. The cubic root of 155406342 is about 537.6375326443.

The spelling of 155406342 in words is "one hundred fifty-five million, four hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 73 78 91 98 146 147 182 219 273 294 438 511 546 557 637 949 1022 1114 1274 1533 1671 1898 1911 2847 3066 3342 3577 3822 3899 5694 6643 7154 7241 7798 10731 11697 13286 14482 19929 21462 21723 23394 27293 39858 40661 43446 46501 50687 54586 81322 81879 93002 101374 121983 139503 152061 163758 243966 279006 284627 304122 354809 528593 569254 709618 853881 1057186 1064427 1585779 1707762 1992389 2128854 3171558 3700151 3984778 5977167 7400302 11100453 11954334 22200906 25901057 51802114 77703171 155406342