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2334763088 = 247294373229
BaseRepresentation
bin1000101100101001…
…1010100001010000
320000201021020211222
42023022122201100
514240144404323
61023402024212
7111600105320
oct21312324120
96021236758
102334763088
11a98a05079
12551aa8068
132b2927128
1418211b280
15d9e8b9c8
hex8b29a850

2334763088 has 160 divisors (see below), whose sum is σ = 5571667200. Its totient is φ = 926650368.

The previous prime is 2334763069. The next prime is 2334763127. The reversal of 2334763088 is 8803674332.

It is a super-2 number, since 2×23347630882 = 10902237354174591488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10195358 + ... + 10195586.

It is an arithmetic number, because the mean of its divisors is an integer number (34822920).

Almost surely, 22334763088 is an apocalyptic number.

2334763088 is a gapful number since it is divisible by the number (28) 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 2334763088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785833600).

2334763088 is an abundant number, since it is smaller than the sum of its proper divisors (3236904112).

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

2334763088 is a wasteful number, since it uses less digits than its factorization.

2334763088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 2334763088 is about 48319.3862543803. The cubic root of 2334763088 is about 1326.6232556802.

The spelling of 2334763088 in words is "two billion, three hundred thirty-four million, seven hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 43 56 58 73 86 112 116 146 172 203 229 232 292 301 344 406 458 464 511 584 602 688 812 916 1022 1168 1204 1247 1603 1624 1832 2044 2117 2408 2494 3139 3206 3248 3664 4088 4234 4816 4988 6278 6412 6641 8176 8468 8729 9847 9976 12556 12824 13282 14819 16717 16936 17458 19694 19952 21973 25112 25648 26564 29638 33434 33872 34916 39388 43946 46487 50224 53128 59276 66868 68929 69832 78776 87892 91031 92974 106256 117019 118552 133736 137858 139664 157552 175784 182062 185948 234038 237104 267472 275716 285563 351568 364124 371896 468076 484793 551432 571126 637217 718831 728248 743792 936152 969586 1102864 1142252 1274434 1437662 1456496 1872304 1939172 1998941 2284504 2548868 2875324 3393551 3878344 3997882 4569008 5031817 5097736 5750648 6787102 7756688 7995764 10063634 10195472 11501296 13574204 15991528 20127268 20846099 27148408 31983056 40254536 41692198 54296816 80509072 83384396 145922693 166768792 291845386 333537584 583690772 1167381544 2334763088