Search a number
-
+
361596942 = 2327191311153
BaseRepresentation
bin10101100011011…
…000100000001110
3221012102000202100
4111203120200032
51220032100232
655514135530
711650344330
oct2543304016
9835360670
10361596942
11176126153
12a11215a6
1359bb68b5
1436049450
1521b29c7c
hex158d880e

361596942 has 96 divisors (see below), whose sum is σ = 950526720. Its totient is φ = 97044480.

The previous prime is 361596941. The next prime is 361596971. The reversal of 361596942 is 249695163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361596941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313038 + ... + 314190.

It is an arithmetic number, because the mean of its divisors is an integer number (9901320).

Almost surely, 2361596942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361596942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475263360).

361596942 is an abundant number, since it is smaller than the sum of its proper divisors (588929778).

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

361596942 is a wasteful number, since it uses less digits than its factorization.

361596942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1315 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 361596942 is about 19015.7025113457. The cubic root of 361596942 is about 712.4289894143.

The spelling of 361596942 in words is "three hundred sixty-one million, five hundred ninety-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 131 133 171 262 266 342 393 399 786 798 917 1153 1179 1197 1834 2306 2358 2394 2489 2751 3459 4978 5502 6918 7467 8071 8253 10377 14934 16142 16506 17423 20754 21907 22401 24213 34846 43814 44802 48426 52269 65721 72639 104538 131442 145278 151043 153349 156807 197163 302086 306698 313614 394326 453129 460047 906258 920094 1057301 1359387 1380141 2114602 2718774 2760282 2869817 3171903 5739634 6343806 8609451 9515709 17218902 19031418 20088719 25828353 40177438 51656706 60266157 120532314 180798471 361596942