1034351440 has 40 divisors (see below), whose sum is σ = 2406272328. Its totient is φ = 413498880.

The previous prime is 1034351429. The next prime is 1034351453. The reversal of 1034351440 is 441534301.

It can be written as a sum of positive squares in 4 ways, for example, as 157954624 + 876396816 = 12568^2 + 29604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 207214 + ... + 212146.

Almost surely, 2^1034351440 is an apocalyptic number.

1034351440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034351440 is an abundant number, since it is smaller than the sum of its proper divisors (1371920888).

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

1034351440 is a wasteful number, since it uses less digits than its factorization.

1034351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1034351440 is about 32161.3345494244. The cubic root of 1034351440 is about 1011.3218127986.

Adding to 1034351440 its reverse (441534301), we get a palindrome (1475885741).

The spelling of 1034351440 in words is "one billion, thirty-four million, three hundred fifty-one thousand, four hundred forty".