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234297396864 = 27323136827
BaseRepresentation
bin1101101000110100110…
…1101000111010000000
3211101202120212222010100
43122031031220322000
512314320113144424
6255345034202400
722633052004456
oct3321515507200
9741676788110
10234297396864
1190401855093
12394a9883400
131912bb0194b
14b4a91769d6
1561644badc9
hex368d368e80

234297396864 has 192 divisors, whose sum is σ = 696790298880. Its totient is φ = 75568734720.

The previous prime is 234297396769. The next prime is 234297396881. The reversal of 234297396864 is 468693792432.

234297396864 is a `hidden beast` number, since 23 + 429 + 73 + 9 + 68 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34315819 + ... + 34322645.

It is an arithmetic number, because the mean of its divisors is an integer number (3629116140).

Almost surely, 2234297396864 is an apocalyptic number.

234297396864 is a gapful number since it is divisible by the number (24) 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 234297396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348395149440).

234297396864 is an abundant number, since it is smaller than the sum of its proper divisors (462492902016).

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

234297396864 is an frugal number, since it uses more digits than its factorization.

234297396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6863 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 234297396864 in words is "two hundred thirty-four billion, two hundred ninety-seven million, three hundred ninety-six thousand, eight hundred sixty-four".