322141248 has 168 divisors, whose sum is σ = 1085063616. Its totient is φ = 90086400.

The previous prime is 322141241. The next prime is 322141249. The reversal of 322141248 is 842141223.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (322141241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80413 + ... + 84323.

It is an arithmetic number, because the mean of its divisors is an integer number (6458712).

Almost surely, 2^322141248 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 322141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542531808).

322141248 is an abundant number, since it is smaller than the sum of its proper divisors (762922368).

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

322141248 is a wasteful number, since it uses less digits than its factorization.

322141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3940 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 322141248 is about 17948.2937350602. The cubic root of 322141248 is about 685.5126061648.

The spelling of 322141248 in words is "three hundred twenty-two million, one hundred forty-one thousand, two hundred forty-eight".