34324000 has 48 divisors (see below), whose sum is σ = 84343896. Its totient is φ = 13728000.

The previous prime is 34323979. The next prime is 34324009. The reversal of 34324000 is 42343.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 33131536 = 1092^2 + 5756^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34324009) 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 7 ways as a sum of consecutive naturals, for example, 291 + ... + 8290.

Almost surely, 2^34324000 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 34324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42171948).

34324000 is an abundant number, since it is smaller than the sum of its proper divisors (50019896).

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

34324000 is an equidigital number, since it uses as much as digits as its factorization.

34324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 34324000 is about 5858.6687907749. The cubic root of 34324000 is about 324.9869817271.

Adding to 34324000 its reverse (42343), we get a palindrome (34366343).

The spelling of 34324000 in words is "thirty-four million, three hundred twenty-four thousand".