1000321344 has 336 divisors, whose sum is σ = 3414954816. Its totient is φ = 276480000.

The previous prime is 1000321319. The next prime is 1000321369. The reversal of 1000321344 is 4431230001.

1000321344 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 321 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (1000321319) and next prime (1000321369).

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 47 ways as a sum of consecutive naturals, for example, 3985219 + ... + 3985469.

It is an arithmetic number, because the mean of its divisors is an integer number (10163556).

Almost surely, 2^1000321344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707477408).

1000321344 is an abundant number, since it is smaller than the sum of its proper divisors (2414633472).

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

1000321344 is a wasteful number, since it uses less digits than its factorization.

1000321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

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

The square root of 1000321344 is about 31627.8570883327. The cubic root of 1000321344 is about 1000.1071031952.

Adding to 1000321344 its reverse (4431230001), we get a palindrome (5431551345).

The spelling of 1000321344 in words is "one billion, three hundred twenty-one thousand, three hundred forty-four".