1034001024 has 64 divisors (see below), whose sum is σ = 3138939840. Its totient is φ = 295428096.

The previous prime is 1034001011. The next prime is 1034001029. The reversal of 1034001024 is 4201004301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1034000994 and 1034001012.

It is not an unprimeable number, because it can be changed into a prime (1034001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189649 + ... + 195024.

It is an arithmetic number, because the mean of its divisors is an integer number (49045935).

Almost surely, 2^1034001024 is an apocalyptic number.

1034001024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1034001024 is an abundant number, since it is smaller than the sum of its proper divisors (2104938816).

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

1034001024 is an equidigital number, since it uses as much as digits as its factorization.

1034001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384697 (or 384685 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1034001024 is about 32155.8863040657. The cubic root of 1034001024 is about 1011.2075952135.

Adding to 1034001024 its reverse (4201004301), we get a palindrome (5235005325).

The spelling of 1034001024 in words is "one billion, thirty-four million, one thousand, twenty-four".