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2296379696 = 2413711311187
BaseRepresentation
bin1000100011011111…
…1111100100110000
312221001001011201212
42020313333210300
514200333122241
61015511215252
7110622622352
oct21067774460
95831034655
102296379696
11a79279066
12541077528
132a79a8370
1417ada90d2
15d6908beb
hex88dff930

2296379696 has 80 divisors (see below), whose sum is σ = 4900186368. Its totient is φ = 1036089600.

The previous prime is 2296379689. The next prime is 2296379699. The reversal of 2296379696 is 6969736922.

It is not an unprimeable number, because it can be changed into a prime (2296379699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1934015 + ... + 1935201.

Almost surely, 22296379696 is an apocalyptic number.

2296379696 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 2296379696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450093184).

2296379696 is an abundant number, since it is smaller than the sum of its proper divisors (2603806672).

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

2296379696 is a wasteful number, since it uses less digits than its factorization.

2296379696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 59.

The square root of 2296379696 is about 47920.5560902626. The cubic root of 2296379696 is about 1319.3131749845.

The spelling of 2296379696 in words is "two billion, two hundred ninety-six million, three hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 71 104 131 142 208 262 284 524 568 923 1048 1136 1187 1703 1846 2096 2374 3406 3692 4748 6812 7384 9301 9496 13624 14768 15431 18602 18992 27248 30862 37204 61724 74408 84277 120913 123448 148816 155497 168554 241826 246896 310994 337108 483652 621988 674216 967304 1095601 1243976 1348432 1934608 2021461 2191202 2487952 4042922 4382404 8085844 8764808 11040287 16171688 17529616 22080574 32343376 44161148 88322296 143523731 176644592 287047462 574094924 1148189848 2296379696