346144 has 24 divisors (see below), whose sum is σ = 706860. Its totient is φ = 166656.

The previous prime is 346141. The next prime is 346147. The reversal of 346144 is 441643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (346141) and next prime (346147).

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 400 = 588^2 + 20^2 .

It is not an unprimeable number, because it can be changed into a prime (346141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 742 + ... + 1114.

2³⁴⁶¹⁴⁴ 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 346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353430).

346144 is an abundant number, since it is smaller than the sum of its proper divisors (360716).

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

346144 is a wasteful number, since it uses less digits than its factorization.

346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 346144 is about 588.3400377333. The cubic root of 346144 is about 70.2132273785.

Adding to 346144 its reverse (441643), we get a palindrome (787787).

The spelling of 346144 in words is "three hundred forty-six thousand, one hundred forty-four".