307948032 has 120 divisors (see below), whose sum is σ = 1015830816. Its totient is φ = 87975936.

The previous prime is 307948031. The next prime is 307948037. The reversal of 307948032 is 230849703.

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 (307948031) 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 11 ways as a sum of consecutive naturals, for example, 27483 + ... + 37029.

Almost surely, 2^307948032 is an apocalyptic number.

307948032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507915408).

307948032 is an abundant number, since it is smaller than the sum of its proper divisors (707882784).

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

307948032 is an equidigital number, since it uses as much as digits as its factorization.

307948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 307948032 is about 17548.4481365162. The cubic root of 307948032 is about 675.2933572611.

The spelling of 307948032 in words is "three hundred seven million, nine hundred forty-eight thousand, thirty-two".