344032 has 24 divisors (see below), whose sum is σ = 730296. Its totient is φ = 158592.

The previous prime is 344021. The next prime is 344039. The reversal of 344032 is 230443.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 343997 and 344015.

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 344032.

It is not an unprimeable number, because it can be changed into a prime (344039) by changing a digit.

344032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (30429).

2³⁴⁴⁰³² is an apocalyptic number.

344032 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 344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365148).

344032 is an abundant number, since it is smaller than the sum of its proper divisors (386264).

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

344032 is a wasteful number, since it uses less digits than its factorization.

344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 344032 is about 586.5424110838. The cubic root of 344032 is about 70.0701337903.

Adding to 344032 its reverse (230443), we get a palindrome (574475).

The spelling of 344032 in words is "three hundred forty-four thousand, thirty-two".