305142384 has 60 divisors (see below), whose sum is σ = 837419864. Its totient is φ = 95726592.

The previous prime is 305142373. The next prime is 305142389. The reversal of 305142384 is 483241503.

It is a super-2 number, since 2×305142384² = 186223749026406912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305142389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874 + ... + 24870.

Almost surely, 2^305142384 is an apocalyptic number.

305142384 is a gapful number since it is divisible by the number (34) 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 305142384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418709932).

305142384 is an abundant number, since it is smaller than the sum of its proper divisors (532277480).

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

305142384 is a wasteful number, since it uses less digits than its factorization.

305142384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22042 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 305142384 is about 17468.3251629914. The cubic root of 305142384 is about 673.2362800568.

Adding to 305142384 its reverse (483241503), we get a palindrome (788383887).

The spelling of 305142384 in words is "three hundred five million, one hundred forty-two thousand, three hundred eighty-four".