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12348008344 = 23717192367443
BaseRepresentation
bin10110111111111111…
…11010011110011000
31011212112221211001101
423133333322132120
5200242042231334
65401140401144
7614665224220
oct133777723630
934775854041
1012348008344
115267146481
1224873a61b4
13121a2a1319
14851d2b080
154c40b4214
hex2dfffa798

12348008344 has 256 divisors, whose sum is σ = 31303065600. Its totient is φ = 4436011008.

The previous prime is 12348008341. The next prime is 12348008369. The reversal of 12348008344 is 44380084321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348008341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27873387 + ... + 27873829.

It is an arithmetic number, because the mean of its divisors is an integer number (122277600).

Almost surely, 212348008344 is an apocalyptic number.

12348008344 is a gapful number since it is divisible by the number (14) 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 12348008344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651532800).

12348008344 is an abundant number, since it is smaller than the sum of its proper divisors (18955057256).

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

12348008344 is a wasteful number, since it uses less digits than its factorization.

12348008344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 12348008344 in words is "twelve billion, three hundred forty-eight million, eight thousand, three hundred forty-four".