322434432 has 160 divisors (see below), whose sum is σ = 970821720. Its totient is φ = 106223616.

The previous prime is 322434407. The next prime is 322434443. The reversal of 322434432 is 234434223.

322434432 is a `hidden beast` number, since 3 + 224 + 3 + 4 + 432 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 322434396 and 322434405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1420303 + ... + 1420529.

Almost surely, 2^322434432 is an apocalyptic number.

322434432 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 322434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485410860).

322434432 is an abundant number, since it is smaller than the sum of its proper divisors (648387288).

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

322434432 is a wasteful number, since it uses less digits than its factorization.

322434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 322434432 is about 17956.4593391905. The cubic root of 322434432 is about 685.7205070864.

Adding to 322434432 its reverse (234434223), we get a palindrome (556868655).

The spelling of 322434432 in words is "three hundred twenty-two million, four hundred thirty-four thousand, four hundred thirty-two".