305120340 has 144 divisors (see below), whose sum is σ = 1067609088. Its totient is φ = 69092352.

The previous prime is 305120327. The next prime is 305120377. The reversal of 305120340 is 43021503.

305120340 is a `hidden beast` number, since 305 + 1 + 20 + 340 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141309 + ... + 143451.

It is an arithmetic number, because the mean of its divisors is an integer number (7413952).

Almost surely, 2^305120340 is an apocalyptic number.

305120340 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 305120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533804544).

305120340 is an abundant number, since it is smaller than the sum of its proper divisors (762488748).

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

305120340 is a wasteful number, since it uses less digits than its factorization.

305120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2273 counting only the distinct ones).

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

The square root of 305120340 is about 17467.6941809731. The cubic root of 305120340 is about 673.2200677586.

Adding to 305120340 its reverse (43021503), we get a palindrome (348141843).

The spelling of 305120340 in words is "three hundred five million, one hundred twenty thousand, three hundred forty".