306349120 has 112 divisors (see below), whose sum is σ = 909571968. Its totient is φ = 95477760.

The previous prime is 306349091. The next prime is 306349151. The reversal of 306349120 is 21943603.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18424 + ... + 30856.

Almost surely, 2^306349120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454785984).

306349120 is an abundant number, since it is smaller than the sum of its proper divisors (603222848).

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

306349120 is a wasteful number, since it uses less digits than its factorization.

306349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 306349120 is about 17502.8317708878. The cubic root of 306349120 is about 674.1225874521.

The spelling of 306349120 in words is "three hundred six million, three hundred forty-nine thousand, one hundred twenty".