1034134020 has 96 divisors (see below), whose sum is σ = 3223852800. Its totient is φ = 275208192.

The previous prime is 1034134019. The next prime is 1034134061. The reversal of 1034134020 is 204314301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1034133984 and 1034134002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 309921 + ... + 313239.

It is an arithmetic number, because the mean of its divisors is an integer number (33581800).

Almost surely, 2^1034134020 is an apocalyptic number.

1034134020 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 1034134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611926400).

1034134020 is an abundant number, since it is smaller than the sum of its proper divisors (2189718780).

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

1034134020 is a wasteful number, since it uses less digits than its factorization.

1034134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034134020 is about 32157.9542259765. The cubic root of 1034134020 is about 1011.2509481040.

Adding to 1034134020 its reverse (204314301), we get a palindrome (1238448321).

The spelling of 1034134020 in words is "one billion, thirty-four million, one hundred thirty-four thousand, twenty".