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286668432 = 24321990753
BaseRepresentation
bin10001000101100…
…011011010010000
3201222102021011100
4101011203122100
51041341342212
644240144400
710050433011
oct2105433220
9658367140
10286668432
111378a9266
1280008100
13475109bb
142a103008
151a278bdc
hex11163690

286668432 has 30 divisors (see below), whose sum is σ = 802273862. Its totient is φ = 95556096.

The previous prime is 286668427. The next prime is 286668461. The reversal of 286668432 is 234866682.

286668432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 240374016 + 46294416 = 15504^2 + 6804^2 .

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 995233 + ... + 995520.

Almost surely, 2286668432 is an apocalyptic number.

It is an amenable number.

286668432 is an abundant number, since it is smaller than the sum of its proper divisors (515605430).

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

286668432 is a wasteful number, since it uses less digits than its factorization.

286668432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990767 (or 1990758 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 286668432 is about 16931.2855979692. The cubic root of 286668432 is about 659.3661131511.

The spelling of 286668432 in words is "two hundred eighty-six million, six hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1990753 3981506 5972259 7963012 11944518 15926024 17916777 23889036 31852048 35833554 47778072 71667108 95556144 143334216 286668432