303827968 has 44 divisors (see below), whose sum is σ = 610169760. Its totient is φ = 151212032.

The previous prime is 303827941. The next prime is 303827969. The reversal of 303827968 is 869728303.

It is a super-2 number, since 2×303827968² = 184622868278018048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (303827969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 274905 + ... + 276007.

Almost surely, 2^303827968 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 303827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305084880).

303827968 is an abundant number, since it is smaller than the sum of its proper divisors (306341792).

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

303827968 is a wasteful number, since it uses less digits than its factorization.

303827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 303827968 is about 17430.6617200840. The cubic root of 303827968 is about 672.2682224813.

The spelling of 303827968 in words is "three hundred three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".