1034401320 has 128 divisors (see below), whose sum is σ = 3455222400. Its totient is φ = 275263488.

The previous prime is 1034401301. The next prime is 1034401337. The reversal of 1034401320 is 231044301.

1034401320 is a `hidden beast` number, since 1 + 0 + 344 + 0 + 1 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1034401293 and 1034401302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849352 + ... + 850568.

It is an arithmetic number, because the mean of its divisors is an integer number (26993925).

Almost surely, 2^1034401320 is an apocalyptic number.

1034401320 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 1034401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727611200).

1034401320 is an abundant number, since it is smaller than the sum of its proper divisors (2420821080).

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

1034401320 is a wasteful number, since it uses less digits than its factorization.

1034401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

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

The square root of 1034401320 is about 32162.1100054085. The cubic root of 1034401320 is about 1011.3380690146.

Adding to 1034401320 its reverse (231044301), we get a palindrome (1265445621).

The spelling of 1034401320 in words is "one billion, thirty-four million, four hundred one thousand, three hundred twenty".