10003400320 has 32 divisors (see below), whose sum is σ = 23914380420. Its totient is φ = 4001359872.

The previous prime is 10003400317. The next prime is 10003400333. The reversal of 10003400320 is 2300430001.

It can be written as a sum of positive squares in 2 ways, for example, as 8885701696 + 1117698624 = 94264^2 + 33432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10003400320² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10003400320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7814517 + ... + 7815796.

Almost surely, 2^10003400320 is an apocalyptic number.

10003400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003400320 is an abundant number, since it is smaller than the sum of its proper divisors (13910980100).

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

10003400320 is an equidigital number, since it uses as much as digits as its factorization.

10003400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630332 (or 15630320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10003400320 its reverse (2300430001), we get a palindrome (12303830321).

The spelling of 10003400320 in words is "ten billion, three million, four hundred thousand, three hundred twenty".