1034341400 has 48 divisors (see below), whose sum is σ = 2417523840. Its totient is φ = 411555200.

The previous prime is 1034341367. The next prime is 1034341459. The reversal of 1034341400 is 41434301.

It is a happy number.

1034341400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24662 + ... + 51738.

It is an arithmetic number, because the mean of its divisors is an integer number (50365080).

Almost surely, 2^1034341400 is an apocalyptic number.

1034341400 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 1034341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208761920).

1034341400 is an abundant number, since it is smaller than the sum of its proper divisors (1383182440).

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

1034341400 is a wasteful number, since it uses less digits than its factorization.

1034341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27284 (or 27275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1034341400 is about 32161.1784609955. The cubic root of 1034341400 is about 1011.3185406342.

Adding to 1034341400 its reverse (41434301), we get a palindrome (1075775701).

The spelling of 1034341400 in words is "one billion, thirty-four million, three hundred forty-one thousand, four hundred".