305742840 has 128 divisors (see below), whose sum is σ = 1014672960. Its totient is φ = 73211904.

The previous prime is 305742823. The next prime is 305742859. The reversal of 305742840 is 48247503.

It is a super-2 number, since 2×305742840² = 186957368422531200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55072 + ... + 60368.

Almost surely, 2^305742840 is an apocalyptic number.

305742840 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 305742840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507336480).

305742840 is an abundant number, since it is smaller than the sum of its proper divisors (708930120).

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

305742840 is a wasteful number, since it uses less digits than its factorization.

305742840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 305742840 is about 17485.5037102166. The cubic root of 305742840 is about 673.6775864934.

The spelling of 305742840 in words is "three hundred five million, seven hundred forty-two thousand, eight hundred forty".