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2317719264 = 25374380209
BaseRepresentation
bin1000101000100101…
…1001011011100000
312222112012100010020
42022021121123200
514221314004024
61021552433440
7111302201010
oct21211313340
95875170106
102317719264
11a8a323873
12548248880
132ac23a423
1417db61c40
15d8721979
hex8a2596e0

2317719264 has 96 divisors (see below), whose sum is σ = 7114947840. Its totient is φ = 646797312.

The previous prime is 2317719241. The next prime is 2317719277. The reversal of 2317719264 is 4629177132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 11209 + ... + 69000.

It is an arithmetic number, because the mean of its divisors is an integer number (74114040).

Almost surely, 22317719264 is an apocalyptic number.

2317719264 is a gapful number since it is divisible by the number (24) 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 2317719264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557473920).

2317719264 is an abundant number, since it is smaller than the sum of its proper divisors (4797228576).

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

2317719264 is a wasteful number, since it uses less digits than its factorization.

2317719264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80272 (or 80264 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 2317719264 is about 48142.6968916366. The cubic root of 2317719264 is about 1323.3872418206.

The spelling of 2317719264 in words is "two billion, three hundred seventeen million, seven hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 80209 160418 240627 320836 481254 561463 641672 962508 1122926 1283344 1684389 1925016 2245852 2566688 3368778 3448987 3850032 4491704 6737556 6897974 7700064 8983408 10346961 13475112 13795948 17966816 20693922 24142909 26950224 27591896 41387844 48285818 53900448 55183792 72428727 82775688 96571636 110367584 144857454 165551376 193143272 289714908 331102752 386286544 579429816 772573088 1158859632 2317719264