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2316393936 = 24341787341
BaseRepresentation
bin1000101000010001…
…0101110111010000
312222102201000010000
42022010111313100
514220444101221
61021504210000
7111255011043
oct21204256720
95872630100
102316393936
11a895a905a
12547909900
132abb950cc
1417d8d8c5a
15d855de26
hex8a115dd0

2316393936 has 50 divisors (see below), whose sum is σ = 6704319842. Its totient is φ = 772130880.

The previous prime is 2316393869. The next prime is 2316393943. The reversal of 2316393936 is 6393936132.

2316393936 is a `hidden beast` number, since 2 + 3 + 1 + 639 + 3 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1725903936 + 590490000 = 41544^2 + 24300^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2316393891 and 2316393900.

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 9 ways as a sum of consecutive naturals, for example, 892375 + ... + 894966.

Almost surely, 22316393936 is an apocalyptic number.

It is an amenable number.

2316393936 is an abundant number, since it is smaller than the sum of its proper divisors (4387925906).

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

2316393936 is a wasteful number, since it uses less digits than its factorization.

2316393936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787361 (or 1787346 counting only the distinct ones).

The product of its digits is 472392, while the sum is 45.

The square root of 2316393936 is about 48128.9303434016. The cubic root of 2316393936 is about 1323.1349454343.

The spelling of 2316393936 in words is "two billion, three hundred sixteen million, three hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1787341 3574682 5362023 7149364 10724046 14298728 16086069 21448092 28597456 32172138 42896184 48258207 64344276 85792368 96516414 128688552 144774621 193032828 257377104 289549242 386065656 579098484 772131312 1158196968 2316393936