303104 has 28 divisors (see below), whose sum is σ = 622554. Its totient is φ = 147456.

The previous prime is 303097. The next prime is 303119. The reversal of 303104 is 401303.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 102400 = 448^2 + 320^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8174 + ... + 8210.

2³⁰³¹⁰⁴ 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 303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311277).

303104 is an abundant number, since it is smaller than the sum of its proper divisors (319450).

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

303104 is an frugal number, since it uses more digits than its factorization.

303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 303104 is about 550.5488170907. The cubic root of 303104 is about 67.1733832609.

Adding to 303104 its reverse (401303), we get a palindrome (704407).

The spelling of 303104 in words is "three hundred three thousand, one hundred four", and thus it is an iban number.