309948 has 24 divisors (see below), whose sum is σ = 755328. Its totient is φ = 98736.

The previous prime is 309937. The next prime is 309977. The reversal of 309948 is 849903.

309948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 309948.

It is an unprimeable number.

309948 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (31472).

2³⁰⁹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

309948 is an abundant number, since it is smaller than the sum of its proper divisors (445380).

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

309948 is a wasteful number, since it uses less digits than its factorization.

309948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 309948 is about 556.7297369460. The cubic root of 309948 is about 67.6752101076.

The spelling of 309948 in words is "three hundred nine thousand, nine hundred forty-eight".