306128 has 30 divisors (see below), whose sum is σ = 637794. Its totient is φ = 142272.

The previous prime is 306121. The next prime is 306133. The reversal of 306128 is 821603.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 23104 = 532^2 + 152^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5750 + ... + 5802.

2³⁰⁶¹²⁸ is an apocalyptic number.

306128 is a gapful number since it is divisible by the number (38) 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 306128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318897).

306128 is an abundant number, since it is smaller than the sum of its proper divisors (331666).

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

306128 is a wasteful number, since it uses less digits than its factorization.

306128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 306128 is about 553.2883515853. The cubic root of 306128 is about 67.3960356569.

It can be divided in two parts, 306 and 128, that added together give a palindrome (434).

The spelling of 306128 in words is "three hundred six thousand, one hundred twenty-eight".