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234330033432 = 23311887613763
BaseRepresentation
bin1101101000111100101…
…0001000110100011000
3211101211212022002002010
43122033022020310120
512314401442032212
6255352201505520
722633626264015
oct3321712106430
9741755262063
10234330033432
1190419216460
12394b87a22a0
13191357baa21
14b4ad63070c
1561672b603c
hex368f288d18

234330033432 has 32 divisors (see below), whose sum is σ = 639081910080. Its totient is φ = 71009100960.

The previous prime is 234330033401. The next prime is 234330033433.

It is a happy number.

234330033432 is nontrivially palindromic in base 10.

234330033432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 234330033432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234330033433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443806618 + ... + 443807145.

It is an arithmetic number, because the mean of its divisors is an integer number (19971309690).

Almost surely, 2234330033432 is an apocalyptic number.

234330033432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234330033432 is an abundant number, since it is smaller than the sum of its proper divisors (404751876648).

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

234330033432 is a wasteful number, since it uses less digits than its factorization.

234330033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887613783 (or 887613779 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 2343300 and 33432, that added together give a palindrome (2376732).

The spelling of 234330033432 in words is "two hundred thirty-four billion, three hundred thirty million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 887613763 1775227526 2662841289 3550455052 5325682578 7100910104 9763751393 10651365156 19527502786 21302730312 29291254179 39055005572 58582508358 78110011144 117165016716 234330033432