350304 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 112640.

The previous prime is 350293. The next prime is 350347. The reversal of 350304 is 403053.

It is a tau number, because it is divible by the number of its divisors (48).

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 350304.

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 7 ways as a sum of consecutive naturals, for example, 3892 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2³⁵⁰³⁰⁴ 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 350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

350304 is an abundant number, since it is smaller than the sum of its proper divisors (602256).

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

350304 is a wasteful number, since it uses less digits than its factorization.

350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 350304 is about 591.8648494378. The cubic root of 350304 is about 70.4933850239.

Adding to 350304 its reverse (403053), we get a palindrome (753357).

The spelling of 350304 in words is "three hundred fifty thousand, three hundred four".