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12340203984 = 24331723431699
BaseRepresentation
bin10110111111000100…
…01001000111010000
31011212000021022111000
423133202021013100
5200233043011414
65400301222000
7614542001043
oct133742110720
934760238430
1012340203984
1152627a5999
122484861900
13121879ac64
14850c98c5a
154c3571b09
hex2df8891d0

12340203984 has 320 divisors, whose sum is σ = 40068864000. Its totient is φ = 3614865408.

The previous prime is 12340203959. The next prime is 12340204003. The reversal of 12340203984 is 48930204321.

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 63 ways as a sum of consecutive naturals, for example, 7262367 + ... + 7264065.

It is an arithmetic number, because the mean of its divisors is an integer number (125215200).

Almost surely, 212340203984 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 12340203984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432000).

12340203984 is an abundant number, since it is smaller than the sum of its proper divisors (27728660016).

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

12340203984 is a wasteful number, since it uses less digits than its factorization.

12340203984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12340203984 in words is "twelve billion, three hundred forty million, two hundred three thousand, nine hundred eighty-four".