1293834312 has 48 divisors (see below), whose sum is σ = 3509709840. Its totient is φ = 430591968.

The previous prime is 1293834307. The next prime is 1293834313. The reversal of 1293834312 is 2134383921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1293834313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32323 + ... + 60269.

It is an arithmetic number, because the mean of its divisors is an integer number (73118955).

Almost surely, 2^1293834312 is an apocalyptic number.

1293834312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1293834312 is an abundant number, since it is smaller than the sum of its proper divisors (2215875528).

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

1293834312 is a wasteful number, since it uses less digits than its factorization.

1293834312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602 (or 28595 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1293834312 is about 35969.9084235698. The cubic root of 1293834312 is about 1089.6647152141.

The spelling of 1293834312 in words is "one billion, two hundred ninety-three million, eight hundred thirty-four thousand, three hundred twelve".