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2306996016 = 2431321716729
BaseRepresentation
bin1000100110000001…
…1111011100110000
312221210000112120220
42021200133130300
514211042333031
61020530533040
7111112066623
oct21140373460
95853015526
102306996016
11a8426a286
12544737180
132a9c54600
1417c56ddba
15d7804596
hex8981f730

2306996016 has 120 divisors (see below), whose sum is σ = 6833468880. Its totient is φ = 668049408.

The previous prime is 2306996011. The next prime is 2306996051. The reversal of 2306996016 is 6106996032.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2306996011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129540 + ... + 146268.

It is an arithmetic number, because the mean of its divisors is an integer number (56945574).

Almost surely, 22306996016 is an apocalyptic number.

2306996016 is a gapful number since it is divisible by the number (26) 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 2306996016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416734440).

2306996016 is an abundant number, since it is smaller than the sum of its proper divisors (4526472864).

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

2306996016 is a wasteful number, since it uses less digits than its factorization.

2306996016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 2306996016 is about 48031.1983610653. The cubic root of 2306996016 is about 1321.3431415712.

The spelling of 2306996016 in words is "two billion, three hundred six million, nine hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 169 204 208 221 272 312 338 408 442 507 624 663 676 816 884 1014 1326 1352 1768 2028 2652 2704 2873 3536 4056 5304 5746 8112 8619 10608 11492 16729 17238 22984 33458 34476 45968 50187 66916 68952 100374 133832 137904 200748 217477 267664 284393 401496 434954 568786 652431 802992 853179 869908 1137572 1304862 1706358 1739816 2275144 2609724 2827201 3412716 3479632 3697109 4550288 5219448 5654402 6825432 7394218 8481603 10438896 11091327 11308804 13650864 14788436 16963206 22182654 22617608 29576872 33926412 44365308 45235216 48062417 59153744 67852824 88730616 96124834 135705648 144187251 177461232 192249668 288374502 384499336 576749004 768998672 1153498008 2306996016