342784 has 36 divisors (see below), whose sum is σ = 744016. Its totient is φ = 156672.

The previous prime is 342761. The next prime is 342791. The reversal of 342784 is 487243.

342784 is nontrivially palindromic in base 14.

It is a d-powerful number, because it can be written as 3⁸ + 4⁸ + 7³ + 2¹³ + 8 + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3277 + ... + 3379.

2³⁴²⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372008).

342784 is an abundant number, since it is smaller than the sum of its proper divisors (401232).

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

342784 is a wasteful number, since it uses less digits than its factorization.

342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 342784 is about 585.4775828330. The cubic root of 342784 is about 69.9853030369.

The spelling of 342784 in words is "three hundred forty-two thousand, seven hundred eighty-four".