303105420 has 72 divisors (see below), whose sum is σ = 935035920. Its totient is φ = 79455360.

The previous prime is 303105379. The next prime is 303105433. The reversal of 303105420 is 24501303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 303105393 and 303105402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3651 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (12986610).

Almost surely, 2^303105420 is an apocalyptic number.

303105420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467517960).

303105420 is an abundant number, since it is smaller than the sum of its proper divisors (631930500).

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

303105420 is a wasteful number, since it uses less digits than its factorization.

303105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28615 (or 28610 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 303105420 is about 17409.9230325697. The cubic root of 303105420 is about 671.7348816008.

Adding to 303105420 its reverse (24501303), we get a palindrome (327606723).

The spelling of 303105420 in words is "three hundred three million, one hundred five thousand, four hundred twenty".