1030340400 has 120 divisors (see below), whose sum is σ = 3307746624. Its totient is φ = 274156800.

The previous prime is 1030340393. The next prime is 1030340413. The reversal of 1030340400 is 40430301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030340400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943855 + ... + 944945.

Almost surely, 2^1030340400 is an apocalyptic number.

1030340400 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 1030340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653873312).

1030340400 is an abundant number, since it is smaller than the sum of its proper divisors (2277406224).

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

1030340400 is a wasteful number, since it uses less digits than its factorization.

1030340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1030340400 is about 32098.9158695430. The cubic root of 1030340400 is about 1010.0128743907.

Adding to 1030340400 its reverse (40430301), we get a palindrome (1070770701).

The spelling of 1030340400 in words is "one billion, thirty million, three hundred forty thousand, four hundred".