1000340800 has 42 divisors (see below), whose sum is σ = 2461467518. Its totient is φ = 400135680.

The previous prime is 1000340779. The next prime is 1000340813. The reversal of 1000340800 is 80430001.

It can be written as a sum of positive squares in 3 ways, for example, as 225720576 + 774620224 = 15024^2 + 27832^2 .

It is a super-2 number, since 2×1000340800² = 2001363432289280000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311007 + ... + 314206.

Almost surely, 2^1000340800 is an apocalyptic number.

1000340800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000340800 is an abundant number, since it is smaller than the sum of its proper divisors (1461126718).

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

1000340800 is an equidigital number, since it uses as much as digits as its factorization.

1000340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625235 (or 625220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1000340800 is about 31628.1646637929. The cubic root of 1000340800 is about 1000.1135870975.

Adding to 1000340800 its reverse (80430001), we get a palindrome (1080770801).

The spelling of 1000340800 in words is "one billion, three hundred forty thousand, eight hundred".