1034002424 has 256 divisors, whose sum is σ = 2714342400. Its totient is φ = 357654528.

The previous prime is 1034002393. The next prime is 1034002457. The reversal of 1034002424 is 4242004301.

It is a super-2 number, since 2×1034002424² = 2138322025675751552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034002396 and 1034002405.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 15432839 + ... + 15432905.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^1034002424 is an apocalyptic number.

1034002424 is a gapful number since it is divisible by the number (14) 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 1034002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

1034002424 is an abundant number, since it is smaller than the sum of its proper divisors (1680339976).

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

1034002424 is a wasteful number, since it uses less digits than its factorization.

1034002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1034002424 is about 32155.9080730120. The cubic root of 1034002424 is about 1011.2080515928.

Adding to 1034002424 its reverse (4242004301), we get a palindrome (5276006725).

The spelling of 1034002424 in words is "one billion, thirty-four million, two thousand, four hundred twenty-four".