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2312936649 = 32172232412
BaseRepresentation
bin1000100111011100…
…1001110011001001
312222012012100121100
42021313021303021
514214102433044
61021302132013
7111213431352
oct21167116311
95865170540
102312936649
11a876575a1
12546721009
132ab25458a
1417d278d29
15d80c9869
hex89dc9cc9

2312936649 has 81 divisors (see below), whose sum is σ = 3802700629. Its totient is φ = 1354298880.

The previous prime is 2312936627. The next prime is 2312936653. The reversal of 2312936649 is 9466392132.

The square root of 2312936649 is 48093.

It is a perfect power (a square), and thus also a powerful number.

2312936649 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162945225 + 2149991424 = 12765^2 + 46368^2 .

It is not a de Polignac number, because 2312936649 - 29 = 2312936137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2312936609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56413069 + ... + 56413109.

Almost surely, 22312936649 is an apocalyptic number.

2312936649 is the 48093-rd square number.

2312936649 is the 24047-th centered octagonal number.

It is an amenable number.

2312936649 is a deficient number, since it is larger than the sum of its proper divisors (1489763980).

2312936649 is a wasteful number, since it uses less digits than its factorization.

2312936649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The cubic root of 2312936649 is about 1322.4763448825.

Multiplying 2312936649 by its product of digits (419904), we get a square (971211350661696 = 311642642).

It can be divided in two parts, 2312 and 936649, that added together give a square (938961 = 9692).

The spelling of 2312936649 in words is "two billion, three hundred twelve million, nine hundred thirty-six thousand, six hundred forty-nine".

Divisors: 1 3 9 17 23 41 51 69 123 153 207 289 369 391 529 697 867 943 1173 1587 1681 2091 2601 2829 3519 4761 5043 6273 6647 8487 8993 11849 15129 16031 19941 21689 26979 28577 35547 38663 48093 59823 65067 80937 85731 106641 115989 144279 152881 195201 257193 272527 347967 368713 458643 485809 657271 817581 889249 1106139 1375929 1457427 1971813 2452743 2667747 3318417 4372281 5915439 6268121 8003241 11173607 15117233 18804363 33520821 45351699 56413089 100562463 136055097 256992961 770978883 2312936649