1034314400 has 144 divisors (see below), whose sum is σ = 3037930560. Its totient is φ = 335923200.

The previous prime is 1034314397. The next prime is 1034314403. The reversal of 1034314400 is 44134301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1034314397) and next prime (1034314403).

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

It is not an unprimeable number, because it can be changed into a prime (1034314403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101540 + ... + 111260.

It is an arithmetic number, because the mean of its divisors is an integer number (21096740).

Almost surely, 2^1034314400 is an apocalyptic number.

1034314400 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 1034314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518965280).

1034314400 is an abundant number, since it is smaller than the sum of its proper divisors (2003616160).

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

1034314400 is a wasteful number, since it uses less digits than its factorization.

1034314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9767 (or 9754 counting only the distinct ones).

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

The square root of 1034314400 is about 32160.7586975183. The cubic root of 1034314400 is about 1011.3097408839.

Adding to 1034314400 its reverse (44134301), we get a palindrome (1078448701).

The spelling of 1034314400 in words is "one billion, thirty-four million, three hundred fourteen thousand, four hundred".