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286318940 = 225435772
BaseRepresentation
bin10001000100001…
…110000101011100
3201221202111202012
4101010032011130
51041244201230
644224450352
710044446045
oct2104160534
9657674665
10286318940
1113768a726
127ba799b8
134741a8bb
142a0518cc
151a20a395
hex1110e15c

286318940 has 36 divisors (see below), whose sum is σ = 616320936. Its totient is φ = 111670272.

The previous prime is 286318937. The next prime is 286319009. The reversal of 286318940 is 49813682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495932 + ... + 496508.

It is an arithmetic number, because the mean of its divisors is an integer number (17120026).

Almost surely, 2286318940 is an apocalyptic number.

286318940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286318940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308160468).

286318940 is an abundant number, since it is smaller than the sum of its proper divisors (330001996).

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

286318940 is an equidigital number, since it uses as much as digits as its factorization.

286318940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 286318940 is about 16920.9615566019. The cubic root of 286318940 is about 659.0980486468.

The spelling of 286318940 in words is "two hundred eighty-six million, three hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 577 860 1154 2308 2885 5770 11540 24811 49622 99244 124055 248110 332929 496220 665858 1331716 1664645 3329290 6658580 14315947 28631894 57263788 71579735 143159470 286318940