34023210 has 64 divisors (see below), whose sum is σ = 91784448. Its totient is φ = 8008704.

The previous prime is 34023179. The next prime is 34023221. The reversal of 34023210 is 1232043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34023210.

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 31 ways as a sum of consecutive naturals, for example, 7074 + ... + 10866.

It is an arithmetic number, because the mean of its divisors is an integer number (1434132).

Almost surely, 2^34023210 is an apocalyptic number.

34023210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45892224).

34023210 is an abundant number, since it is smaller than the sum of its proper divisors (57761238).

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

34023210 is a wasteful number, since it uses less digits than its factorization.

34023210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34023210 is about 5832.9417963837. The cubic root of 34023210 is about 324.0348804088.

Adding to 34023210 its reverse (1232043), we get a palindrome (35255253).

The spelling of 34023210 in words is "thirty-four million, twenty-three thousand, two hundred ten".