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234462339540 = 22325111329210831
BaseRepresentation
bin1101101001011100001…
…0110110000111010100
3211102012002020220221100
43122113002312013110
512320134324331130
6255413245350100
722640124001062
oct3322702660724
9742162226840
10234462339540
1190486972a50
1239534b68330
1319157033070
14b4c3031032
156173becc60
hex36970b61d4

234462339540 has 432 divisors, whose sum is σ = 865423593216. Its totient is φ = 50653209600.

The previous prime is 234462339533. The next prime is 234462339557. The reversal of 234462339540 is 45933264432.

234462339540 is a `hidden beast` number, since 2 + 3 + 44 + 62 + 3 + 3 + 9 + 540 = 666.

234462339540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 21641925 + ... + 21652755.

Almost surely, 2234462339540 is an apocalyptic number.

234462339540 is a gapful number since it is divisible by the number (20) 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 234462339540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432711796608).

234462339540 is an abundant number, since it is smaller than the sum of its proper divisors (630961253676).

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

234462339540 is a wasteful number, since it uses less digits than its factorization.

234462339540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 234462339540 in words is "two hundred thirty-four billion, four hundred sixty-two million, three hundred thirty-nine thousand, five hundred forty".