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268684824 = 23337302573
BaseRepresentation
bin10000000000111…
…100111000011000
3200201120121021210
4100000330320120
51022240403244
642354503120
76441532452
oct2000747030
9621517253
10268684824
11128735981
1275b94aa0
1343885305
14279812d2
15188c54b9
hex1003ce18

268684824 has 32 divisors (see below), whose sum is σ = 689868720. Its totient is φ = 87140736.

The previous prime is 268684817. The next prime is 268684831. The reversal of 268684824 is 428486862.

268684824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268684817) and next prime (268684831).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150399 + ... + 152174.

Almost surely, 2268684824 is an apocalyptic number.

268684824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268684824 is an abundant number, since it is smaller than the sum of its proper divisors (421183896).

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

268684824 is a wasteful number, since it uses less digits than its factorization.

268684824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302619 (or 302615 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 268684824 is about 16391.6083408554. The cubic root of 268684824 is about 645.2792685262.

The spelling of 268684824 in words is "two hundred sixty-eight million, six hundred eighty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 302573 605146 907719 1210292 1815438 2420584 3630876 7261752 11195201 22390402 33585603 44780804 67171206 89561608 134342412 268684824