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234286272 = 263211103359
BaseRepresentation
bin11011111011011…
…10110011000000
3121022211222100100
431331232303000
5434434130042
635125322400
75543254233
oct1575566300
9538758310
10234286272
11110280820
1266566400
133970023c
142318941a
151587d24c
hexdf6ecc0

234286272 has 168 divisors, whose sum is σ = 741761280. Its totient is φ = 70110720.

The previous prime is 234286249. The next prime is 234286277. The reversal of 234286272 is 272682432.

It is a happy number.

234286272 is a `hidden beast` number, since 2 + 3 + 4 + 28 + 627 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (234286277) 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, 652429 + ... + 652787.

Almost surely, 2234286272 is an apocalyptic number.

234286272 is a gapful number since it is divisible by the number (22) 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 234286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370880640).

234286272 is an abundant number, since it is smaller than the sum of its proper divisors (507475008).

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

234286272 is a wasteful number, since it uses less digits than its factorization.

234286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 234286272 is about 15306.4127737364. The cubic root of 234286272 is about 616.4752053616.

The spelling of 234286272 in words is "two hundred thirty-four million, two hundred eighty-six thousand, two hundred seventy-two".