1034213200 has 60 divisors (see below), whose sum is σ = 2514714048. Its totient is φ = 408688000.

The previous prime is 1034213189. The next prime is 1034213231. The reversal of 1034213200 is 23124301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17625 + ... + 48775.

Almost surely, 2^1034213200 is an apocalyptic number.

1034213200 is a gapful number since it is divisible by the number (10) 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 1034213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257357024).

1034213200 is an abundant number, since it is smaller than the sum of its proper divisors (1480500848).

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

1034213200 is a wasteful number, since it uses less digits than its factorization.

1034213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31252 (or 31241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034213200 is about 32159.1853130641. The cubic root of 1034213200 is about 1011.2767567533.

Adding to 1034213200 its reverse (23124301), we get a palindrome (1057337501).

The spelling of 1034213200 in words is "one billion, thirty-four million, two hundred thirteen thousand, two hundred".