1034114420 has 48 divisors (see below), whose sum is σ = 2312806608. Its totient is φ = 387041280.

The previous prime is 1034114413. The next prime is 1034114441. The reversal of 1034114420 is 244114301.

It can be written as a sum of positive squares in 8 ways, for example, as 36312676 + 997801744 = 6026^2 + 31588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1034114392 and 1034114401.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 50030 + ... + 67610.

It is an arithmetic number, because the mean of its divisors is an integer number (48183471).

Almost surely, 2^1034114420 is an apocalyptic number.

1034114420 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 1034114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156403304).

1034114420 is an abundant number, since it is smaller than the sum of its proper divisors (1278692188).

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

1034114420 is a wasteful number, since it uses less digits than its factorization.

1034114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1034114420 is about 32157.6494787788. The cubic root of 1034114420 is about 1011.2445592984.

Adding to 1034114420 its reverse (244114301), we get a palindrome (1278228721).

The spelling of 1034114420 in words is "one billion, thirty-four million, one hundred fourteen thousand, four hundred twenty".