306930 has 32 divisors (see below), whose sum is σ = 794304. Its totient is φ = 75456.

The previous prime is 306919. The next prime is 306941. The reversal of 306930 is 39603.

It is an interprime number because it is at equal distance from previous prime (306919) and next prime (306941).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 306897 and 306906.

It is an unprimeable number.

306930 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (24822).

2³⁰⁶⁹³⁰ is an apocalyptic number.

306930 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 306930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397152).

306930 is an abundant number, since it is smaller than the sum of its proper divisors (487374).

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

306930 is a wasteful number, since it uses less digits than its factorization.

306930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 306930 is about 554.0126352350. The cubic root of 306930 is about 67.4548394768.

The spelling of 306930 in words is "three hundred six thousand, nine hundred thirty".