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234008264 = 23717373659
BaseRepresentation
bin11011111001010…
…10111011001000
3121022022211222202
431330222323020
5434401231024
635115335332
75541015560
oct1574527310
9538284882
10234008264
11110100966
1266451548
1339633839
1423115da0
1515825bae
hexdf2aec8

234008264 has 64 divisors (see below), whose sum is σ = 533174400. Its totient is φ = 93993984.

The previous prime is 234008231. The next prime is 234008267. The reversal of 234008264 is 462800432.

It is not an unprimeable number, because it can be changed into a prime (234008267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354767 + ... + 355425.

It is an arithmetic number, because the mean of its divisors is an integer number (8330850).

Almost surely, 2234008264 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 234008264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200).

234008264 is an abundant number, since it is smaller than the sum of its proper divisors (299166136).

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

234008264 is a wasteful number, since it uses less digits than its factorization.

234008264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 234008264 is about 15297.3286556836. The cubic root of 234008264 is about 616.2312689278.

Adding to 234008264 its reverse (462800432), we get a palindrome (696808696).

The spelling of 234008264 in words is "two hundred thirty-four million, eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 373 476 659 746 952 1318 1492 2611 2636 2984 4613 5222 5272 6341 9226 10444 11203 12682 18452 20888 22406 25364 36904 44387 44812 50728 78421 88774 89624 156842 177548 245807 313684 355096 491614 627368 983228 1720649 1966456 3441298 4178719 6882596 8357438 13765192 16714876 29251033 33429752 58502066 117004132 234008264