322054434 has 128 divisors (see below), whose sum is σ = 808980480. Its totient is φ = 94312512.

The previous prime is 322054433. The next prime is 322054451. The reversal of 322054434 is 434450223.

322054434 is a `hidden beast` number, since 3 + 220 + 5 + 4 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 322054398 and 322054407.

It is not an unprimeable number, because it can be changed into a prime (322054433) 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, 1418629 + ... + 1418855.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^322054434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322054434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490240).

322054434 is an abundant number, since it is smaller than the sum of its proper divisors (486926046).

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

322054434 is a wasteful number, since it uses less digits than its factorization.

322054434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 322054434 is about 17945.8751249417. The cubic root of 322054434 is about 685.4510209249.

The spelling of 322054434 in words is "three hundred twenty-two million, fifty-four thousand, four hundred thirty-four".