321341344 has 48 divisors (see below), whose sum is σ = 692987400. Its totient is φ = 145997824.

The previous prime is 321341323. The next prime is 321341347. The reversal of 321341344 is 443143123.

It can be written as a sum of positive squares in 4 ways, for example, as 316412944 + 4928400 = 17788^2 + 2220^2 .

It is not an unprimeable number, because it can be changed into a prime (321341347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5592 + ... + 25960.

Almost surely, 2^321341344 is an apocalyptic number.

321341344 is a gapful number since it is divisible by the number (34) 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 321341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346493700).

321341344 is an abundant number, since it is smaller than the sum of its proper divisors (371646056).

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

321341344 is a wasteful number, since it uses less digits than its factorization.

321341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425 (or 20417 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 321341344 is about 17925.9963181967. The cubic root of 321341344 is about 684.9447406006.

Adding to 321341344 its reverse (443143123), we get a palindrome (764484467).

The spelling of 321341344 in words is "three hundred twenty-one million, three hundred forty-one thousand, three hundred forty-four".