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2314936320 = 2133518839
BaseRepresentation
bin1000100111111011…
…0010000000000000
312222022221221122020
42021332302000000
514220110430240
61021413041440
7111236430324
oct21176620000
95868857566
102314936320
11a887a2a14
12547326280
132ab7a4808
1417d639984
15d83720d0
hex89fb2000

2314936320 has 112 divisors (see below), whose sum is σ = 7407737280. Its totient is φ = 617283584.

The previous prime is 2314936303. The next prime is 2314936343. The reversal of 2314936320 is 236394132.

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, 113461 + ... + 132299.

Almost surely, 22314936320 is an apocalyptic number.

2314936320 is a gapful number since it is divisible by the number (20) 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 2314936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703868640).

2314936320 is an abundant number, since it is smaller than the sum of its proper divisors (5092800960).

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

2314936320 is an equidigital number, since it uses as much as digits as its factorization.

2314936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18873 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 2314936320 is about 48113.7851348239. The cubic root of 2314936320 is about 1322.8573548636.

The spelling of 2314936320 in words is "two billion, three hundred fourteen million, nine hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 18839 20480 24576 30720 37678 40960 56517 61440 75356 94195 113034 122880 150712 188390 226068 282585 301424 376780 452136 565170 602848 753560 904272 1130340 1205696 1507120 1808544 2260680 2411392 3014240 3617088 4521360 4822784 6028480 7234176 9042720 9645568 12056960 14468352 18085440 19291136 24113920 28936704 36170880 38582272 48227840 57873408 72341760 77164544 96455680 115746816 144683520 154329088 192911360 231493632 289367040 385822720 462987264 578734080 771645440 1157468160 2314936320