1024342200 has 288 divisors, whose sum is σ = 4078488960. Its totient is φ = 234057600.

The previous prime is 1024342177. The next prime is 1024342211. The reversal of 1024342200 is 22434201.

1024342200 is a `hidden beast` number, since 1 + 0 + 243 + 422 + 0 + 0 = 666.

1024342200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338695 + ... + 341705.

It is an arithmetic number, because the mean of its divisors is an integer number (14161420).

Almost surely, 2^1024342200 is an apocalyptic number.

1024342200 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 1024342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039244480).

1024342200 is an abundant number, since it is smaller than the sum of its proper divisors (3054146760).

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

1024342200 is a wasteful number, since it uses less digits than its factorization.

1024342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1024342200 is about 32005.3464283704. The cubic root of 1024342200 is about 1008.0491047507.

Adding to 1024342200 its reverse (22434201), we get a palindrome (1046776401).

The spelling of 1024342200 in words is "one billion, twenty-four million, three hundred forty-two thousand, two hundred".