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234305568 = 25337192039
BaseRepresentation
bin11011111011100…
…11100000100000
3121022212221211000
431331303200200
5434440234233
635125552000
75543364420
oct1575634040
9538787730
10234305568
11110294272
1266575600
1339708c63
1423192480
1515883d13
hexdf73820

234305568 has 192 divisors, whose sum is σ = 822528000. Its totient is φ = 63389952.

The previous prime is 234305507. The next prime is 234305593. The reversal of 234305568 is 865503432.

It is a happy number.

234305568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113893 + ... + 115931.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2234305568 is an apocalyptic number.

234305568 is a gapful number since it is divisible by the number (28) 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 234305568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

234305568 is an abundant number, since it is smaller than the sum of its proper divisors (588222432).

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

234305568 is a wasteful number, since it uses less digits than its factorization.

234305568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 234305568 is about 15307.0430848025. The cubic root of 234305568 is about 616.4921293565.

The spelling of 234305568 in words is "two hundred thirty-four million, three hundred five thousand, five hundred sixty-eight".