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268613424 = 24321865371
BaseRepresentation
bin10000000000101…
…011011100110000
3200201102222100100
4100000223130300
51022231112144
642353152400
76441114342
oct2000533460
9621388310
10268613424
11128697272
1275b5b700
134385b971
1427963292
15188ae269
hex1002b730

268613424 has 30 divisors (see below), whose sum is σ = 751744916. Its totient is φ = 89537760.

The previous prime is 268613383. The next prime is 268613453. The reversal of 268613424 is 424316862.

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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 932542 + ... + 932829.

Almost surely, 2268613424 is an apocalyptic number.

268613424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268613424 is an abundant number, since it is smaller than the sum of its proper divisors (483131492).

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

268613424 is a wasteful number, since it uses less digits than its factorization.

268613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865385 (or 1865376 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 268613424 is about 16389.4302524523. The cubic root of 268613424 is about 645.2221048690. Note that the first 3 decimals are identical.

It can be divided in two parts, 2686 and 13424, that added together give a triangular number (16110 = T179).

The spelling of 268613424 in words is "two hundred sixty-eight million, six hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1865371 3730742 5596113 7461484 11192226 14922968 16788339 22384452 29845936 33576678 44768904 67153356 89537808 134306712 268613424