284340 has 48 divisors (see below), whose sum is σ = 911232. Its totient is φ = 64896.

The previous prime is 284311. The next prime is 284341. The reversal of 284340 is 43482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284341) by changing a digit.

284340 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, 82 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (18984).

2²⁸⁴³⁴⁰ is an apocalyptic number.

284340 is a gapful number since it is divisible by the number (20) 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 284340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455616).

284340 is an abundant number, since it is smaller than the sum of its proper divisors (626892).

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

284340 is a wasteful number, since it uses less digits than its factorization.

284340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 284340 is about 533.2354076766. The cubic root of 284340 is about 65.7576048879.

The spelling of 284340 in words is "two hundred eighty-four thousand, three hundred forty".