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234011809080 = 23355715122777
BaseRepresentation
bin1101100111110000110…
…0001101010100111000
3211101000200111121100000
43121330030031110320
512313224010342310
6255300433113000
722623013362150
oct3317414152470
9741020447300
10234011809080
1190275624825
123942a0b8760
13190b48abaaa
14b47d275760
1561493a74c0
hex367c30d538

234011809080 has 384 divisors, whose sum is σ = 907388052480. Its totient is φ = 53131852800.

The previous prime is 234011809001. The next prime is 234011809103. The reversal of 234011809080 is 80908110432.

234011809080 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 (36).

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 95 ways as a sum of consecutive naturals, for example, 10262652 + ... + 10285428.

It is an arithmetic number, because the mean of its divisors is an integer number (2362989720).

Almost surely, 2234011809080 is an apocalyptic number.

234011809080 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 234011809080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453694026240).

234011809080 is an abundant number, since it is smaller than the sum of its proper divisors (673376243400).

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

234011809080 is a wasteful number, since it uses less digits than its factorization.

234011809080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22961 (or 22945 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 234011809080 in words is "two hundred thirty-four billion, eleven million, eight hundred nine thousand, eighty".