1000344006 has 56 divisors (see below), whose sum is σ = 2262903480. Its totient is φ = 331498656.

The previous prime is 1000343999. The next prime is 1000344029. The reversal of 1000344006 is 6004430001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000344006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 259066 + ... + 262898.

Almost surely, 2^1000344006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000344006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131451740).

1000344006 is an abundant number, since it is smaller than the sum of its proper divisors (1262559474).

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

1000344006 is an equidigital number, since it uses as much as digits as its factorization.

1000344006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4017 counting only the distinct ones).

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

The square root of 1000344006 is about 31628.2153464276. The cubic root of 1000344006 is about 1000.1146555203.

Adding to 1000344006 its reverse (6004430001), we get a palindrome (7004774007).

The spelling of 1000344006 in words is "one billion, three hundred forty-four thousand, six".