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283360064 = 2613340577
BaseRepresentation
bin10000111000111…
…011101101000000
3201202012011221012
4100320323231000
51040020010224
644041220052
710010343431
oct2070735500
9652164835
10283360064
11135a49679
127aa91628
1346922ba0
14298c1488
1519d2380e
hex10e3bb40

283360064 has 28 divisors (see below), whose sum is σ = 605547684. Its totient is φ = 130781184.

The previous prime is 283360019. The next prime is 283360087. The reversal of 283360064 is 460063382.

It can be written as a sum of positive squares in 2 ways, for example, as 14137600 + 269222464 = 3760^2 + 16408^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 283360064.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 169457 + ... + 171120.

It is an arithmetic number, because the mean of its divisors is an integer number (21626703).

Almost surely, 2283360064 is an apocalyptic number.

It is an amenable number.

283360064 is an abundant number, since it is smaller than the sum of its proper divisors (322187620).

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

283360064 is a wasteful number, since it uses less digits than its factorization.

283360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340602 (or 340592 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 283360064 is about 16833.3022309944. The cubic root of 283360064 is about 656.8197663530.

The spelling of 283360064 in words is "two hundred eighty-three million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 340577 681154 1362308 2724616 4427501 5449232 8855002 10898464 17710004 21796928 35420008 70840016 141680032 283360064