306348 has 36 divisors (see below), whose sum is σ = 833112. Its totient is φ = 87360.

The previous prime is 306347. The next prime is 306349. The reversal of 306348 is 843603.

306348 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (306347) and next prime (306349).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306348.

It is not an unprimeable number, because it can be changed into a prime (306347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (23142).

2³⁰⁶³⁴⁸ 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 306348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416556).

306348 is an abundant number, since it is smaller than the sum of its proper divisors (526764).

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

306348 is a wasteful number, since it uses less digits than its factorization.

306348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 306348 is about 553.4871272216. The cubic root of 306348 is about 67.4121765929.

The spelling of 306348 in words is "three hundred six thousand, three hundred forty-eight".