1300434320 has 40 divisors (see below), whose sum is σ = 3040248120. Its totient is φ = 517294080.

The previous prime is 1300434307. The next prime is 1300434349. The reversal of 1300434320 is 234340031.

It can be written as a sum of positive squares in 4 ways, for example, as 73753744 + 1226680576 = 8588^2 + 35024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1300434320² = 3382258841267724800, 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 = 1300434292 and 1300434301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30425 + ... + 59384.

It is an arithmetic number, because the mean of its divisors is an integer number (76006203).

Almost surely, 2^1300434320 is an apocalyptic number.

1300434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300434320 is an abundant number, since it is smaller than the sum of its proper divisors (1739813800).

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

1300434320 is a wasteful number, since it uses less digits than its factorization.

1300434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90003 (or 89997 counting only the distinct ones).

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

The square root of 1300434320 is about 36061.5351864005. The cubic root of 1300434320 is about 1091.5144115172.

Adding to 1300434320 its reverse (234340031), we get a palindrome (1534774351).

The spelling of 1300434320 in words is "one billion, three hundred million, four hundred thirty-four thousand, three hundred twenty".