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268744630 = 25711231729
BaseRepresentation
bin10000000001001…
…011011110110110
3200201200122022211
4100001023132312
51022244312010
642400044034
76442202020
oct2001133666
9621618284
10268744630
11128776900
127600361a
13438a65bb
1427999010
15188d808a
hex1004b7b6

268744630 has 48 divisors (see below), whose sum is σ = 607692960. Its totient is φ = 83761920.

The previous prime is 268744603. The next prime is 268744631. The reversal of 268744630 is 36447862.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268744631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7395 + ... + 24334.

It is an arithmetic number, because the mean of its divisors is an integer number (12660270).

Almost surely, 2268744630 is an apocalyptic number.

268744630 is an abundant number, since it is smaller than the sum of its proper divisors (338948330).

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

268744630 is a wasteful number, since it uses less digits than its factorization.

268744630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31765 (or 31754 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 268744630 is about 16393.4325264723. The cubic root of 268744630 is about 645.3271421008.

The spelling of 268744630 in words is "two hundred sixty-eight million, seven hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1694 4235 8470 31729 63458 158645 222103 317290 349019 444206 698038 1110515 1745095 2221030 2443133 3490190 3839209 4886266 7678418 12215665 19196045 24431330 26874463 38392090 53748926 134372315 268744630