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234694656 = 21132717107
BaseRepresentation
bin11011111110100…
…10100000000000
3121100121201112200
431333102200000
5440040212111
635142153200
75546604660
oct1577224000
9540551480
10234694656
1111052a629
1266722800
13398140a1
14232541a0
151590e256
hexdfd2800

234694656 has 288 divisors, whose sum is σ = 827910720. Its totient is φ = 62521344.

The previous prime is 234694637. The next prime is 234694657. The reversal of 234694656 is 656496432.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (234694657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193355 + ... + 2193461.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2234694656 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 234694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413955360).

234694656 is an abundant number, since it is smaller than the sum of its proper divisors (593216064).

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

234694656 is a wasteful number, since it uses less digits than its factorization.

234694656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 234694656 is about 15319.7472564008. The cubic root of 234694656 is about 616.8331897335.

The spelling of 234694656 in words is "two hundred thirty-four million, six hundred ninety-four thousand, six hundred fifty-six".