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286349240 = 23518139551
BaseRepresentation
bin10001000100010…
…101011110111000
3201221211001022102
4101010111132320
51041301133430
644225242532
710044633302
oct2104253670
9657731272
10286349240
11137700471
127ba93448
134742b628
142a05c972
151a214345
hex111157b8

286349240 has 32 divisors (see below), whose sum is σ = 647861760. Its totient is φ = 113904000.

The previous prime is 286349221. The next prime is 286349249. The reversal of 286349240 is 42943682.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 286349194 and 286349203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286349249) 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 7 ways as a sum of consecutive naturals, for example, 12536 + ... + 27015.

It is an arithmetic number, because the mean of its divisors is an integer number (20245680).

Almost surely, 2286349240 is an apocalyptic number.

286349240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286349240 is an abundant number, since it is smaller than the sum of its proper divisors (361512520).

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

286349240 is a wasteful number, since it uses less digits than its factorization.

286349240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39743 (or 39739 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 286349240 is about 16921.8568721048. The cubic root of 286349240 is about 659.1212977391.

The spelling of 286349240 in words is "two hundred eighty-six million, three hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 39551 79102 158204 197755 316408 395510 791020 1582040 7158731 14317462 28634924 35793655 57269848 71587310 143174620 286349240