305841690 has 256 divisors, whose sum is σ = 1041776640. Its totient is φ = 62000640.

The previous prime is 305841661. The next prime is 305841703. The reversal of 305841690 is 96148503.

It is a super-2 number, since 2×305841690² = 187078278684112200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 976974 + ... + 977286.

It is an arithmetic number, because the mean of its divisors is an integer number (4069440).

Almost surely, 2^305841690 is an apocalyptic number.

305841690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305841690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520888320).

305841690 is an abundant number, since it is smaller than the sum of its proper divisors (735934950).

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

305841690 is a wasteful number, since it uses less digits than its factorization.

305841690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 305841690 is about 17488.3301089612. The cubic root of 305841690 is about 673.7501811114.

The spelling of 305841690 in words is "three hundred five million, eight hundred forty-one thousand, six hundred ninety".