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268437264 = 24310635261
BaseRepresentation
bin10000000000000…
…000011100010000
3200201010000200220
4100000000130100
51022204443024
642345313040
76436451634
oct2000003420
9621100626
10268437264
11128586987
1275a95780
13437c9724
1427918dc4
1518876e79
hex10000710

268437264 has 40 divisors (see below), whose sum is σ = 694247232. Its totient is φ = 89377920.

The previous prime is 268437241. The next prime is 268437287. The reversal of 268437264 is 462734862.

It is an interprime number because it is at equal distance from previous prime (268437241) and next prime (268437287).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48394 + ... + 53654.

Almost surely, 2268437264 is an apocalyptic number.

268437264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268437264 is an abundant number, since it is smaller than the sum of its proper divisors (425809968).

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

268437264 is a wasteful number, since it uses less digits than its factorization.

268437264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6329 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 268437264 is about 16384.0551756883. The cubic root of 268437264 is about 645.0810258164.

The spelling of 268437264 in words is "two hundred sixty-eight million, four hundred thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1063 2126 3189 4252 5261 6378 8504 10522 12756 15783 17008 21044 25512 31566 42088 51024 63132 84176 126264 252528 5592443 11184886 16777329 22369772 33554658 44739544 67109316 89479088 134218632 268437264