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2313314304 = 21337217113
BaseRepresentation
bin1000100111100010…
…0110000000000000
312222012220112122120
42021320212000000
514214202024204
61021314204240
7111216563400
oct21170460000
95865815576
102313314304
11a87895304
12546883680
132ab357442
1417d336800
15d81516d9
hex89e26000

2313314304 has 336 divisors, whose sum is σ = 7664884848. Its totient is φ = 616562688.

The previous prime is 2313314299. The next prime is 2313314323. The reversal of 2313314304 is 4034133132.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20471752 + ... + 20471864.

Almost surely, 22313314304 is an apocalyptic number.

2313314304 is a gapful number since it is divisible by the number (24) 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 2313314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832442424).

2313314304 is an abundant number, since it is smaller than the sum of its proper divisors (5351570544).

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

2313314304 is a wasteful number, since it uses less digits than its factorization.

2313314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2313314304 is about 48096.9261387877. The cubic root of 2313314304 is about 1322.5483186975.

Adding to 2313314304 its reverse (4034133132), we get a palindrome (6347447436).

The spelling of 2313314304 in words is "two billion, three hundred thirteen million, three hundred fourteen thousand, three hundred four".