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286312 = 23132753
BaseRepresentation
bin1000101111001101000
3112112202011
41011321220
533130222
610045304
72301505
oct1057150
9475664
10286312
11186124
12119834
13a0420
14764ac
1559c77
hex45e68

286312 has 16 divisors (see below), whose sum is σ = 578340. Its totient is φ = 132096.

The previous prime is 286301. The next prime is 286333. The reversal of 286312 is 213682.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 1156 = 534^2 + 34^2 .

It is a super-2 number, since 2×2863122 = 163949122688, which contains 22 as substring.

It is a d-powerful number, because it can be written as 22 + 86 + 3 + 65 + 1 + 214 .

It is an unprimeable number.

286312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1273 + ... + 1480.

2286312 is an apocalyptic number.

It is an amenable number.

286312 is an abundant number, since it is smaller than the sum of its proper divisors (292028).

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

286312 is a wasteful number, since it uses less digits than its factorization.

286312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2768 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 286312 is about 535.0813022336. The cubic root of 286312 is about 65.9092723376.

Adding to 286312 its reverse (213682), we get a palindrome (499994).

The spelling of 286312 in words is "two hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 2753 5506 11012 22024 35789 71578 143156 286312