1020434310 has 288 divisors, whose sum is σ = 3265142400. Its totient is φ = 220147200.

The previous prime is 1020434269. The next prime is 1020434329. The reversal of 1020434310 is 134340201.

1020434310 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020434310² = 2082572362050352200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10103260 + ... + 10103360.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 2^1020434310 is an apocalyptic number.

1020434310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632571200).

1020434310 is an abundant number, since it is smaller than the sum of its proper divisors (2244708090).

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

1020434310 is a wasteful number, since it uses less digits than its factorization.

1020434310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

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

The square root of 1020434310 is about 31944.2375085085. The cubic root of 1020434310 is about 1006.7655606298.

Adding to 1020434310 its reverse (134340201), we get a palindrome (1154774511).

The spelling of 1020434310 in words is "one billion, twenty million, four hundred thirty-four thousand, three hundred ten".