1034213220 has 36 divisors (see below), whose sum is σ = 3137113980. Its totient is φ = 275790144.

The previous prime is 1034213189. The next prime is 1034213231. The reversal of 1034213220 is 223124301.

1034213220 is a `hidden beast` number, since 1 + 0 + 342 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 792535104 + 241678116 = 28152^2 + 15546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1034213193 and 1034213202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872635 + ... + 2872994.

It is an arithmetic number, because the mean of its divisors is an integer number (87142055).

Almost surely, 2^1034213220 is an apocalyptic number.

1034213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034213220 is an abundant number, since it is smaller than the sum of its proper divisors (2102900760).

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

1034213220 is a wasteful number, since it uses less digits than its factorization.

1034213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745644 (or 5745639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034213220 is about 32159.1856240173. The cubic root of 1034213220 is about 1011.2767632721.

Adding to 1034213220 its reverse (223124301), we get a palindrome (1257337521).

The spelling of 1034213220 in words is "one billion, thirty-four million, two hundred thirteen thousand, two hundred twenty".