306048 has 32 divisors (see below), whose sum is σ = 813960. Its totient is φ = 101888.

The previous prime is 306041. The next prime is 306049. The reversal of 306048 is 840603.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306048.

It is not an unprimeable number, because it can be changed into a prime (306041) by changing a digit.

306048 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 15 + ... + 782.

2³⁰⁶⁰⁴⁸ 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 306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980).

306048 is an abundant number, since it is smaller than the sum of its proper divisors (507912).

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

306048 is an equidigital number, since it uses as much as digits as its factorization.

306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 306048 is about 553.2160518279. The cubic root of 306048 is about 67.3901643083.

The spelling of 306048 in words is "three hundred six thousand, forty-eight".