302003968 has 72 divisors (see below), whose sum is σ = 694894592. Its totient is φ = 128314368.

The previous prime is 302003939. The next prime is 302003981. The reversal of 302003968 is 869300203.

It is a happy number.

It is a congruent number.

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, 226921 + ... + 228247.

Almost surely, 2^302003968 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 302003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347447296).

302003968 is an abundant number, since it is smaller than the sum of its proper divisors (392890624).

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

302003968 is a wasteful number, since it uses less digits than its factorization.

302003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 302003968 is about 17378.2613629787. The cubic root of 302003968 is about 670.9202236056.

The spelling of 302003968 in words is "three hundred two million, three thousand, nine hundred sixty-eight".