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234845403432 = 23317857671647
BaseRepresentation
bin1101101010110111100…
…0000111100100101000
3211110011210001120210220
43122231320013210220
512321430410402212
6255515252010040
722652454664323
oct3325570074450
9743153046726
10234845403432
1190663120582
1239621300920
13191b84c49a3
14b51bc677ba
15619766838c
hex36ade07928

234845403432 has 64 divisors (see below), whose sum is σ = 622375902720. Its totient is φ = 73590908928.

The previous prime is 234845403427. The next prime is 234845403493. The reversal of 234845403432 is 234304548432.

It is a happy number.

234845403432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13833 + ... + 685479.

It is an arithmetic number, because the mean of its divisors is an integer number (9724623480).

Almost surely, 2234845403432 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 234845403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311187951360).

234845403432 is an abundant number, since it is smaller than the sum of its proper divisors (387530499288).

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

234845403432 is a wasteful number, since it uses less digits than its factorization.

234845403432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672530 (or 672526 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 234845403432 in words is "two hundred thirty-four billion, eight hundred forty-five million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 857 1714 2571 3428 5142 6856 10284 14569 20568 29138 43707 58276 87414 116552 174828 349656 671647 1343294 2014941 2686588 4029882 5373176 8059764 11417999 16119528 22835998 34253997 45671996 68507994 91343992 137015988 274031976 575601479 1151202958 1726804437 2302405916 3453608874 4604811832 6907217748 9785225143 13814435496 19570450286 29355675429 39140900572 58711350858 78281801144 117422701716 234845403432