34310000 has 100 divisors (see below), whose sum is σ = 85997472. Its totient is φ = 13248000.

The previous prime is 34309981. The next prime is 34310009. The reversal of 34310000 is 1343.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×34310000² = 2354352200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34310009) 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 19 ways as a sum of consecutive naturals, for example, 469964 + ... + 470036.

Almost surely, 2^34310000 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 34310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42998736).

34310000 is an abundant number, since it is smaller than the sum of its proper divisors (51687472).

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

34310000 is an equidigital number, since it uses as much as digits as its factorization.

34310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 34310000 is about 5857.4738582430. The cubic root of 34310000 is about 324.9427907191.

Adding to 34310000 its reverse (1343), we get a palindrome (34311343).

The spelling of 34310000 in words is "thirty-four million, three hundred ten thousand".