303042432 has 256 divisors, whose sum is σ = 1034426880. Its totient is φ = 76308480.

The previous prime is 303042401. The next prime is 303042433. The reversal of 303042432 is 234240303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 303042399 and 303042408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303042433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093878 + ... + 1094154.

It is an arithmetic number, because the mean of its divisors is an integer number (4040730).

Almost surely, 2^303042432 is an apocalyptic number.

303042432 is a gapful number since it is divisible by the number (32) 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 303042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517213440).

303042432 is an abundant number, since it is smaller than the sum of its proper divisors (731384448).

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

303042432 is a wasteful number, since it uses less digits than its factorization.

303042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 303042432 is about 17408.1139702152. The cubic root of 303042432 is about 671.6883475512.

Adding to 303042432 its reverse (234240303), we get a palindrome (537282735).

The spelling of 303042432 in words is "three hundred three million, forty-two thousand, four hundred thirty-two".