130434320 has 20 divisors (see below), whose sum is σ = 303259980. Its totient is φ = 52173696.

The previous prime is 130434307. The next prime is 130434323. The reversal of 130434320 is 23434031.

It can be written as a sum of positive squares in 2 ways, for example, as 38887696 + 91546624 = 6236^2 + 9568^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×130434320² = 34026223667724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130434292 and 130434301.

It is not an unprimeable number, because it can be changed into a prime (130434323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815135 + ... + 815294.

It is an arithmetic number, because the mean of its divisors is an integer number (15162999).

Almost surely, 2^130434320 is an apocalyptic number.

130434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434320 is an abundant number, since it is smaller than the sum of its proper divisors (172825660).

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

130434320 is a wasteful number, since it uses less digits than its factorization.

130434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630442 (or 1630436 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 130434320 is about 11420.7845614914. The cubic root of 130434320 is about 507.1432227541.

Adding to 130434320 its reverse (23434031), we get a palindrome (153868351).

The spelling of 130434320 in words is "one hundred thirty million, four hundred thirty-four thousand, three hundred twenty".