1034414340 has 192 divisors, whose sum is σ = 3207859200. Its totient is φ = 248016384.

The previous prime is 1034414327. The next prime is 1034414371. The reversal of 1034414340 is 434144301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034414340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2214787 + ... + 2215253.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^1034414340 is an apocalyptic number.

1034414340 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 1034414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

1034414340 is an abundant number, since it is smaller than the sum of its proper divisors (2173444860).

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

1034414340 is a wasteful number, since it uses less digits than its factorization.

1034414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1034414340 is about 32162.3124168646. The cubic root of 1034414340 is about 1011.3423122311.

Adding to 1034414340 its reverse (434144301), we get a palindrome (1468558641).

The spelling of 1034414340 in words is "one billion, thirty-four million, four hundred fourteen thousand, three hundred forty".