34313220 has 120 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 8970048.

The previous prime is 34313219. The next prime is 34313231. The reversal of 34313220 is 2231343.

34313220 is a `hidden beast` number, since 343 + 1 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34313193 and 34313202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95401 + ... + 95759.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^34313220 is an apocalyptic number.

34313220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

34313220 is an abundant number, since it is smaller than the sum of its proper divisors (75457980).

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

34313220 is a wasteful number, since it uses less digits than its factorization.

34313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34313220 is about 5857.7487143100. The cubic root of 34313220 is about 324.9529557152.

Adding to 34313220 its reverse (2231343), we get a palindrome (36544563).

The spelling of 34313220 in words is "thirty-four million, three hundred thirteen thousand, two hundred twenty".