1306823238 has 72 divisors (see below), whose sum is σ = 3301190568. Its totient is φ = 372532608.

The previous prime is 1306823233. The next prime is 1306823257. The reversal of 1306823238 is 8323286031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306823233) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459870 + ... + 462702.

It is an arithmetic number, because the mean of its divisors is an integer number (45849869).

Almost surely, 2^1306823238 is an apocalyptic number.

1306823238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306823238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650595284).

1306823238 is an abundant number, since it is smaller than the sum of its proper divisors (1994367330).

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

1306823238 is a wasteful number, since it uses less digits than its factorization.

1306823238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1306823238 is about 36150.0102074674. The cubic root of 1306823238 is about 1093.2989965628.

The spelling of 1306823238 in words is "one billion, three hundred six million, eight hundred twenty-three thousand, two hundred thirty-eight".