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2327044896 = 253311222259
BaseRepresentation
bin1000101010110011…
…1110001100100000
320000011202010111000
42022230332030200
514231210414041
61022524352000
7111444361311
oct21254761440
96004663430
102327044896
11a94613300
1254b3a5600
132b1154057
141810ac608
15d9464bb6
hex8ab3e320

2327044896 has 144 divisors (see below), whose sum is σ = 7460661600. Its totient is φ = 705133440.

The previous prime is 2327044829. The next prime is 2327044903. The reversal of 2327044896 is 6984407232.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93415 + ... + 115673.

It is an arithmetic number, because the mean of its divisors is an integer number (51810150).

Almost surely, 22327044896 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 2327044896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730330800).

2327044896 is an abundant number, since it is smaller than the sum of its proper divisors (5133616704).

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

2327044896 is a wasteful number, since it uses less digits than its factorization.

2327044896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22300 (or 22275 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2327044896 is about 48239.4537282503. The cubic root of 2327044896 is about 1325.1598043403.

The spelling of 2327044896 in words is "two billion, three hundred twenty-seven million, forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 11616 13068 17424 22259 26136 34848 44518 52272 66777 89036 104544 133554 178072 200331 244849 267108 356144 400662 489698 534216 600993 712288 734547 801324 979396 1068432 1201986 1469094 1602648 1958792 2136864 2203641 2403972 2693339 2938188 3205296 3917584 4407282 4807944 5386678 5876376 6410592 6610923 7835168 8080017 8814564 9615888 10773356 11752752 13221846 16160034 17629128 19231776 21546712 23505504 24240051 26443692 32320068 35258256 43093424 48480102 52887384 64640136 70516512 72720153 86186848 96960204 105774768 129280272 145440306 193920408 211549536 258560544 290880612 387840816 581761224 775681632 1163522448 2327044896