354304 has 24 divisors (see below), whose sum is σ = 712530. Its totient is φ = 176128.

The previous prime is 354301. The next prime is 354307. The reversal of 354304 is 403453.

It is an interprime number because it is at equal distance from previous prime (354301) and next prime (354307).

It can be written as a sum of positive squares in only one way, i.e., 230400 + 123904 = 480^2 + 352^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (354301) 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 as a sum of consecutive naturals, namely, 1962 + ... + 2134.

2³⁵⁴³⁰⁴ 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 354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356265).

354304 is an abundant number, since it is smaller than the sum of its proper divisors (358226).

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

354304 is an equidigital number, since it uses as much as digits as its factorization.

354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 354304 is about 595.2344076076. The cubic root of 354304 is about 70.7606833747.

Adding to 354304 its reverse (403453), we get a palindrome (757757).

The spelling of 354304 in words is "three hundred fifty-four thousand, three hundred four".