346912 has 24 divisors (see below), whose sum is σ = 703836. Its totient is φ = 168192.

The previous prime is 346903. The next prime is 346933. The reversal of 346912 is 219643.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 80656 = 516^2 + 284^2 .

It is a plaindrome in base 9.

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, 1038 + ... + 1330.

2³⁴⁶⁹¹² is an apocalyptic number.

346912 is a gapful number since it is divisible by the number (32) 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 346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351918).

346912 is an abundant number, since it is smaller than the sum of its proper divisors (356924).

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

346912 is a wasteful number, since it uses less digits than its factorization.

346912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 346912 is about 588.9923598825. The cubic root of 346912 is about 70.2651170804.

It can be divided in two parts, 3469 and 12, that added together give a square (3481 = 59²).

The spelling of 346912 in words is "three hundred forty-six thousand, nine hundred twelve".