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286303240 = 23571100811
BaseRepresentation
bin10001000100001…
…010010000001000
3201221201201012201
4101010022100020
51041243200430
644224245544
710044352216
oct2104122010
9657651181
10286303240
11137679953
127ba708b4
1347413702
142a049cb6
151a2058ca
hex1110a408

286303240 has 32 divisors (see below), whose sum is σ = 653261760. Its totient is φ = 112907200.

The previous prime is 286303231. The next prime is 286303243. The reversal of 286303240 is 42303682.

It is a junction number, because it is equal to n+sod(n) for n = 286303199 and 286303208.

It is not an unprimeable number, because it can be changed into a prime (286303243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47566 + ... + 53245.

It is an arithmetic number, because the mean of its divisors is an integer number (20414430).

Almost surely, 2286303240 is an apocalyptic number.

286303240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286303240 is an abundant number, since it is smaller than the sum of its proper divisors (366958520).

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

286303240 is a wasteful number, since it uses less digits than its factorization.

286303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100893 (or 100889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 286303240 is about 16920.4976286160. The cubic root of 286303240 is about 659.0860014422.

The spelling of 286303240 in words is "two hundred eighty-six million, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 100811 201622 403244 504055 806488 1008110 2016220 4032440 7157581 14315162 28630324 35787905 57260648 71575810 143151620 286303240