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268118310 = 2351931303
BaseRepresentation
bin11111111101100…
…10100100100110
3200200111211011210
433332302210212
51022114241220
642334412250
76433653015
oct1776624446
9620454153
10268118310
11128389289
1275961086
13437174b5
1427874a7c
15188126e0
hexffb2926

268118310 has 64 divisors (see below), whose sum is σ = 679749120. Its totient is φ = 67683168.

The previous prime is 268118299. The next prime is 268118359. The reversal of 268118310 is 13811862.

It is a super-2 number, since 2×2681183102 = 143774856314512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205119 + ... + 206421.

It is an arithmetic number, because the mean of its divisors is an integer number (10621080).

Almost surely, 2268118310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268118310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339874560).

268118310 is an abundant number, since it is smaller than the sum of its proper divisors (411630810).

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

268118310 is a wasteful number, since it uses less digits than its factorization.

268118310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 268118310 is about 16374.3186117774. The cubic root of 268118310 is about 644.8254319958.

The spelling of 268118310 in words is "two hundred sixty-eight million, one hundred eighteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1303 1805 2166 2606 3610 3909 5415 6515 6859 7818 10830 13030 13718 19545 20577 24757 34295 39090 41154 49514 68590 74271 102885 123785 148542 205770 247570 371355 470383 742710 940766 1411149 2351915 2822298 4703830 7055745 8937277 14111490 17874554 26811831 44686385 53623662 89372770 134059155 268118310