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2342465216 = 267131273167
BaseRepresentation
bin1000101110011111…
…0010111011000000
320001020202120011222
42023213302323000
514244132341331
61024235054212
7112022424440
oct21347627300
96036676158
102342465216
11aa2295873
125545a1368
132b43c2ac0
14183164120
15da9adb7b
hex8b9f2ec0

2342465216 has 112 divisors (see below), whose sum is σ = 5767888896. Its totient is φ = 919102464.

The previous prime is 2342465201. The next prime is 2342465219. The reversal of 2342465216 is 6125642432.

2342465216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2342465219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738065 + ... + 741231.

It is an arithmetic number, because the mean of its divisors is an integer number (51499008).

Almost surely, 22342465216 is an apocalyptic number.

2342465216 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 2342465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883944448).

2342465216 is an abundant number, since it is smaller than the sum of its proper divisors (3425423680).

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

2342465216 is a wasteful number, since it uses less digits than its factorization.

2342465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3316 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 2342465216 is about 48399.0208165413. The cubic root of 2342465216 is about 1328.0804494738.

The spelling of 2342465216 in words is "two billion, three hundred forty-two million, four hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 182 208 224 254 364 416 448 508 728 832 889 1016 1456 1651 1778 2032 2912 3167 3302 3556 4064 5824 6334 6604 7112 8128 11557 12668 13208 14224 22169 23114 25336 26416 28448 41171 44338 46228 50672 52832 56896 82342 88676 92456 101344 105664 164684 177352 184912 202688 288197 329368 354704 369824 402209 576394 658736 709408 739648 804418 1152788 1317472 1418816 1608836 2305576 2634944 2815463 3217672 4611152 5228717 5630926 6435344 9222304 10457434 11261852 12870688 18444608 20914868 22523704 25741376 36601019 41829736 45047408 73202038 83659472 90094816 146404076 167318944 180189632 292808152 334637888 585616304 1171232608 2342465216