34322000 has 60 divisors (see below), whose sum is σ = 83628948. Its totient is φ = 13624000.

The previous prime is 34321967. The next prime is 34322017. The reversal of 34322000 is 22343.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1098304 + 33223696 = 1048^2 + 5764^2 .

It is a congruent number.

It is an unprimeable number.

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, 261935 + ... + 262065.

Almost surely, 2^34322000 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 34322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41814474).

34322000 is an abundant number, since it is smaller than the sum of its proper divisors (49306948).

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

34322000 is an equidigital number, since it uses as much as digits as its factorization.

34322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34322000 is about 5858.4981010494. The cubic root of 34322000 is about 324.9806694617.

Adding to 34322000 its reverse (22343), we get a palindrome (34344343).

The spelling of 34322000 in words is "thirty-four million, three hundred twenty-two thousand".