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2316064432 = 2411193718719
BaseRepresentation
bin1000101000001100…
…0101011010110000
312222102002021010011
42022003011122300
514220403030212
61021453144304
7111252136303
oct21203053260
95872067104
102316064432
11a893a3540
1254778b094
132abaab136
1417d850b3a
15d84e64a7
hex8a0c56b0

2316064432 has 80 divisors (see below), whose sum is σ = 5292518400. Its totient is φ = 970341120.

The previous prime is 2316064391. The next prime is 2316064433. The reversal of 2316064432 is 2344606132.

It is a junction number, because it is equal to n+sod(n) for n = 2316064394 and 2316064403.

It is not an unprimeable number, because it can be changed into a prime (2316064433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114369 + ... + 133087.

It is an arithmetic number, because the mean of its divisors is an integer number (66156480).

Almost surely, 22316064432 is an apocalyptic number.

2316064432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2316064432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646259200).

2316064432 is an abundant number, since it is smaller than the sum of its proper divisors (2976453968).

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

2316064432 is a wasteful number, since it uses less digits than its factorization.

2316064432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18794 (or 18788 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2316064432 is about 48125.5070830428. The cubic root of 2316064432 is about 1323.0722043889.

The spelling of 2316064432 in words is "two billion, three hundred sixteen million, sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 37 38 44 74 76 88 148 152 176 209 296 304 407 418 592 703 814 836 1406 1628 1672 2812 3256 3344 5624 6512 7733 11248 15466 18719 30932 37438 61864 74876 123728 149752 205909 299504 355661 411818 692603 711322 823636 1385206 1422644 1647272 2770412 2845288 3294544 3912271 5540824 5690576 7618633 7824542 11081648 13159457 15237266 15649084 26318914 30474532 31298168 52637828 60949064 62596336 105275656 121898128 144754027 210551312 289508054 579016108 1158032216 2316064432