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285348 = 22374379
BaseRepresentation
bin1000101101010100100
3112111102110
41011222210
533112343
610041020
72265630
oct1055244
9474373
10285348
11185428
12119170
139cb5b
1475dc0
1559833
hex45aa4

285348 has 48 divisors (see below), whose sum is σ = 788480. Its totient is φ = 78624.

The previous prime is 285343. The next prime is 285377. The reversal of 285348 is 843582.

It is a super-2 number, since 2×2853482 = 162846962208, which contains 22 as substring.

It is a d-powerful number, because it can be written as 218 + 83 + 37 + 52 + 47 + 84 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285348.

It is not an unprimeable number, because it can be changed into a prime (285343) by changing a digit.

285348 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 15 ways as a sum of consecutive naturals, for example, 3573 + ... + 3651.

285348 is a Friedman number, since it can be written as 538^2-8^4, using all its digits and the basic arithmetic operations.

2285348 is an apocalyptic number.

285348 is a gapful number since it is divisible by the number (28) 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 285348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394240).

285348 is an abundant number, since it is smaller than the sum of its proper divisors (503132).

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

285348 is a wasteful number, since it uses less digits than its factorization.

285348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 285348 is about 534.1797450297. The cubic root of 285348 is about 65.8352179489.

The spelling of 285348 in words is "two hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 79 84 86 129 158 172 237 258 301 316 474 516 553 602 903 948 1106 1204 1659 1806 2212 3318 3397 3612 6636 6794 10191 13588 20382 23779 40764 47558 71337 95116 142674 285348