1034414024 has 64 divisors (see below), whose sum is σ = 2248992000. Its totient is φ = 436896000.

The previous prime is 1034414009. The next prime is 1034414053. The reversal of 1034414024 is 4204144301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259534 + ... + 1260354.

It is an arithmetic number, because the mean of its divisors is an integer number (35140500).

Almost surely, 2^1034414024 is an apocalyptic number.

1034414024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1034414024 is an abundant number, since it is smaller than the sum of its proper divisors (1214577976).

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

1034414024 is a wasteful number, since it uses less digits than its factorization.

1034414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1034414024 is about 32162.3075042821. The cubic root of 1034414024 is about 1011.3422092472.

Adding to 1034414024 its reverse (4204144301), we get a palindrome (5238558325).

The spelling of 1034414024 in words is "one billion, thirty-four million, four hundred fourteen thousand, twenty-four".