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2312944452 = 22327213172349
BaseRepresentation
bin1000100111011100…
…1011101101000100
312222012012202022100
42021313023231010
514214103210302
61021302232100
7111213463200
oct21167135504
95865182270
102312944452
11a87662445
12546725630
132ab257cb0
1417d27bb00
15d80cbd1c
hex89dcbb44

2312944452 has 324 divisors, whose sum is σ = 7802804100. Its totient is φ = 572479488.

The previous prime is 2312944429. The next prime is 2312944477. The reversal of 2312944452 is 2544492132.

It is a happy number.

2312944452 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 6 ways, for example, as 112021056 + 2200923396 = 10584^2 + 46914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6627174 + ... + 6627522.

Almost surely, 22312944452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312944452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901402050).

2312944452 is an abundant number, since it is smaller than the sum of its proper divisors (5489859648).

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

2312944452 is a wasteful number, since it uses less digits than its factorization.

2312944452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 391 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2312944452 is about 48093.0811240037. The cubic root of 2312944452 is about 1322.4778320642.

The spelling of 2312944452 in words is "two billion, three hundred twelve million, nine hundred forty-four thousand, four hundred fifty-two".