34102820 has 12 divisors (see below), whose sum is σ = 71615964. Its totient is φ = 13641120.

The previous prime is 34102807. The next prime is 34102841. The reversal of 34102820 is 2820143.

It can be written as a sum of positive squares in 2 ways, for example, as 26296384 + 7806436 = 5128^2 + 2794^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1705141 = 34102820 / (3 + 4 + 1 + 0 + 2 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 34102792 and 34102801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 852551 + ... + 852590.

It is an arithmetic number, because the mean of its divisors is an integer number (5967997).

Almost surely, 2^34102820 is an apocalyptic number.

It is an amenable number.

34102820 is an abundant number, since it is smaller than the sum of its proper divisors (37513144).

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

34102820 is a wasteful number, since it uses less digits than its factorization.

34102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705150 (or 1705148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34102820 is about 5839.7619814510. The cubic root of 34102820 is about 324.2874170627.

Adding to 34102820 its reverse (2820143), we get a palindrome (36922963).

The spelling of 34102820 in words is "thirty-four million, one hundred two thousand, eight hundred twenty".