306231948 has 192 divisors, whose sum is σ = 936230400. Its totient is φ = 85524480.

The previous prime is 306231941. The next prime is 306231973. The reversal of 306231948 is 849132603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (306231941) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1191436 + ... + 1191692.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^306231948 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 306231948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468115200).

306231948 is an abundant number, since it is smaller than the sum of its proper divisors (629998452).

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

306231948 is a wasteful number, since it uses less digits than its factorization.

306231948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 306231948 is about 17499.4842209706. The cubic root of 306231948 is about 674.0366306583.

The spelling of 306231948 in words is "three hundred six million, two hundred thirty-one thousand, nine hundred forty-eight".