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2313054306 = 2381710369
BaseRepresentation
bin1000100111011110…
…0110100001100010
312222012102100000000
42021313212201202
514214120214211
61021304440430
7111214431363
oct21167464142
95865370000
102313054306
11a87727a32
12546779116
132ab295cb4
1417d2a9b6a
15d80ee656
hex89de6862

2313054306 has 72 divisors (see below), whose sum is σ = 5510763180. Its totient is φ = 725594112.

The previous prime is 2313054301. The next prime is 2313054307. The reversal of 2313054306 is 6034503132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2276148681 + 36905625 = 47709^2 + 6075^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2313054306.

It is not an unprimeable number, because it can be changed into a prime (2313054301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217890 + ... + 228258.

Almost surely, 22313054306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313054306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755381590).

2313054306 is an abundant number, since it is smaller than the sum of its proper divisors (3197708874).

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

2313054306 is an equidigital number, since it uses as much as digits as its factorization.

2313054306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2313054306 is about 48094.2232081983. The cubic root of 2313054306 is about 1322.4987688950.

Adding to 2313054306 its reverse (6034503132), we get a palindrome (8347557438).

The spelling of 2313054306 in words is "two billion, three hundred thirteen million, fifty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 4131 4374 6561 8262 10369 12393 13122 20738 24786 31107 37179 62214 74358 93321 111537 176273 186642 223074 279963 352546 528819 559926 839889 1057638 1586457 1679778 2519667 3172914 4759371 5039334 7559001 9518742 14278113 15118002 22677003 28556226 42834339 45354006 68031009 85668678 128503017 136062018 257006034 385509051 771018102 1156527153 2313054306