34314020 has 48 divisors (see below), whose sum is σ = 78048768. Its totient is φ = 12597120.

The previous prime is 34314013. The next prime is 34314023. The reversal of 34314020 is 2041343.

It is a self number, because there is not a number n which added to its sum of digits gives 34314020.

It is not an unprimeable number, because it can be changed into a prime (34314023) 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 15 ways as a sum of consecutive naturals, for example, 70217 + ... + 70703.

It is an arithmetic number, because the mean of its divisors is an integer number (1626016).

Almost surely, 2^34314020 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 34314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39024384).

34314020 is an abundant number, since it is smaller than the sum of its proper divisors (43734748).

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

34314020 is a wasteful number, since it uses less digits than its factorization.

34314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34314020 is about 5857.8169995315. The cubic root of 34314020 is about 324.9554810815.

Adding to 34314020 its reverse (2041343), we get a palindrome (36355363).

The spelling of 34314020 in words is "thirty-four million, three hundred fourteen thousand, twenty".