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286704 = 243211181
BaseRepresentation
bin1000101111111110000
3112120021200
41011333300
533133304
610051200
72302605
oct1057760
9476250
10286704
11186450
12119b00
13a0662
14766ac
1559e39
hex45ff0

286704 has 60 divisors (see below), whose sum is σ = 880152. Its totient is φ = 86400.

The previous prime is 286703. The next prime is 286711. The reversal of 286704 is 407682.

286704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286703) by changing a digit.

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, 1494 + ... + 1674.

286704 is a Friedman number, since it can be written as 70*4^6-8*2, using all its digits and the basic arithmetic operations.

2286704 is an apocalyptic number.

286704 is a gapful number since it is divisible by the number (24) 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 286704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440076).

286704 is an abundant number, since it is smaller than the sum of its proper divisors (593448).

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

286704 is a wasteful number, since it uses less digits than its factorization.

286704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 286704 is about 535.4474764158. The cubic root of 286704 is about 65.9393382011.

It can be divided in two parts, 286 and 704, that added together give a triangular number (990 = T44).

The spelling of 286704 in words is "two hundred eighty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 181 198 264 362 396 528 543 724 792 1086 1448 1584 1629 1991 2172 2896 3258 3982 4344 5973 6516 7964 8688 11946 13032 15928 17919 23892 26064 31856 35838 47784 71676 95568 143352 286704