Search a number
-
+
12342690360 = 23335731113233
BaseRepresentation
bin10110111111010111…
…01000001000111000
31011212011221122011000
423133223220020320
5200234212042420
65400430405000
7614602065000
oct133753501070
934764848130
1012342690360
115264143a50
122485660760
13121915b8a0
14851345000
154c38b3690
hex2dfae8238

12342690360 has 1024 divisors, whose sum is σ = 56609280000. Its totient is φ = 2357268480.

The previous prime is 12342690341. The next prime is 12342690383. The reversal of 12342690360 is 6309624321.

12342690360 is a `hidden beast` number, since 1 + 2 + 34 + 269 + 0 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52972804 + ... + 52973036.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 212342690360 is an apocalyptic number.

12342690360 is a gapful number since it is divisible by the number (10) 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 12342690360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640000).

12342690360 is an abundant number, since it is smaller than the sum of its proper divisors (44266589640).

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

12342690360 is a wasteful number, since it uses less digits than its factorization.

12342690360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12342690360 in words is "twelve billion, three hundred forty-two million, six hundred ninety thousand, three hundred sixty".