303424 has 28 divisors (see below), whose sum is σ = 658368. Its totient is φ = 137600.

The previous prime is 303421. The next prime is 303431. The reversal of 303424 is 424303.

It is a super-2 number, since 2×303424² = 184132247552, which contains 22 as substring.

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 = 303398 and 303407.

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 303424.

It is not an unprimeable number, because it can be changed into a prime (303421) 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 in 3 ways as a sum of consecutive naturals, for example, 489 + ... + 919.

2³⁰³⁴²⁴ 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 303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

303424 is an abundant number, since it is smaller than the sum of its proper divisors (354944).

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

303424 is a wasteful number, since it uses less digits than its factorization.

303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

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

The square root of 303424 is about 550.8393595233. The cubic root of 303424 is about 67.1970142286.

Adding to 303424 its reverse (424303), we get a palindrome (727727).

It can be divided in two parts, 303 and 424, that added together give a palindrome (727).

The spelling of 303424 in words is "three hundred three thousand, four hundred twenty-four", and thus it is an iban number.