309248 has 24 divisors (see below), whose sum is σ = 622440. Its totient is φ = 153600.

The previous prime is 309241. The next prime is 309251. The reversal of 309248 is 842903.

It is an Ulam number.

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 309248.

It is not an unprimeable number, because it can be changed into a prime (309241) by changing a digit.

309248 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1973 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2³⁰⁹²⁴⁸ 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 309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

309248 is an abundant number, since it is smaller than the sum of its proper divisors (313192).

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

309248 is an equidigital number, since it uses as much as digits as its factorization.

309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 309248 is about 556.1007103034. The cubic root of 309248 is about 67.6242248298.

The spelling of 309248 in words is "three hundred nine thousand, two hundred forty-eight".