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2314668032 = 21147139173
BaseRepresentation
bin1000100111110111…
…0000100000000000
312222022110022121122
42021331300200000
514220023334112
61021403211412
7111234232205
oct21175604000
95868408548
102314668032
11a8862a396
12547216b68
132ab70c671
1417d5a9cac
15d831c872
hex89f70800

2314668032 has 96 divisors (see below), whose sum is σ = 4788201600. Its totient is φ = 1118060544.

The previous prime is 2314668023. The next prime is 2314668067. The reversal of 2314668032 is 2308664132.

It is a junction number, because it is equal to n+sod(n) for n = 2314667983 and 2314668001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13379498 + ... + 13379670.

It is an arithmetic number, because the mean of its divisors is an integer number (49877100).

Almost surely, 22314668032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394100800).

2314668032 is an abundant number, since it is smaller than the sum of its proper divisors (2473533568).

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

2314668032 is a wasteful number, since it uses less digits than its factorization.

2314668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2314668032 is about 48110.9969965288. The cubic root of 2314668032 is about 1322.8062489991.

The spelling of 2314668032 in words is "two billion, three hundred fourteen million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 139 173 188 256 278 346 376 512 556 692 752 1024 1112 1384 1504 2048 2224 2768 3008 4448 5536 6016 6533 8131 8896 11072 12032 13066 16262 17792 22144 24047 24064 26132 32524 35584 44288 48094 48128 52264 65048 71168 88576 96188 96256 104528 130096 142336 177152 192376 209056 260192 284672 354304 384752 418112 520384 769504 836224 1040768 1130209 1539008 1672448 2081536 2260418 3078016 3344896 4163072 4520836 6156032 6689792 8326144 9041672 12312064 13379584 16652288 18083344 24624128 36166688 49248256 72333376 144666752 289333504 578667008 1157334016 2314668032