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2343630653 = 72132377649
BaseRepresentation
bin1000101110110000…
…1111011100111101
320001022221202212022
42023230033130331
514244432140103
61024320045525
7112035350300
oct21354173475
96038852768
102343630653
11aa2a11441
12554a638a5
132b4710400
14183388b37
15dab3e138
hex8bb0f73d

2343630653 has 36 divisors (see below), whose sum is σ = 3032291700. Its totient is φ = 1803949056.

The previous prime is 2343630637. The next prime is 2343630661. The reversal of 2343630653 is 3560363432.

It can be written as a sum of positive squares in 6 ways, for example, as 444239929 + 1899390724 = 21077^2 + 43582^2 .

It is not a de Polignac number, because 2343630653 - 24 = 2343630637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343630613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302573 + ... + 310221.

It is an arithmetic number, because the mean of its divisors is an integer number (84230325).

Almost surely, 22343630653 is an apocalyptic number.

It is an amenable number.

2343630653 is a deficient number, since it is larger than the sum of its proper divisors (688661047).

2343630653 is a wasteful number, since it uses less digits than its factorization.

2343630653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 35.

The square root of 2343630653 is about 48411.0592013850. The cubic root of 2343630653 is about 1328.3006644089.

The spelling of 2343630653 in words is "two billion, three hundred forty-three million, six hundred thirty thousand, six hundred fifty-three".

Divisors: 1 7 13 37 49 91 169 259 481 637 1183 1813 3367 6253 7649 8281 23569 43771 53543 99437 283013 306397 374801 696059 1292681 1981091 3679169 4872413 9048767 13867637 25754183 47829197 63341369 180279281 334804379 2343630653