303138820 has 48 divisors (see below), whose sum is σ = 661243968. Its totient is φ = 116645760.

The previous prime is 303138809. The next prime is 303138821. The reversal of 303138820 is 28831303.

It is not an unprimeable number, because it can be changed into a prime (303138821) 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 15 ways as a sum of consecutive naturals, for example, 54990 + ... + 60250.

It is an arithmetic number, because the mean of its divisors is an integer number (13775916).

Almost surely, 2^303138820 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 303138820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330621984).

303138820 is an abundant number, since it is smaller than the sum of its proper divisors (358105148).

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

303138820 is a wasteful number, since it uses less digits than its factorization.

303138820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 303138820 is about 17410.8822292266. The cubic root of 303138820 is about 671.7595541180.

The spelling of 303138820 in words is "three hundred three million, one hundred thirty-eight thousand, eight hundred twenty".