1293071340 has 144 divisors (see below), whose sum is σ = 4214167776. Its totient is φ = 295004160.

The previous prime is 1293071327. The next prime is 1293071389. The reversal of 1293071340 is 431703921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1293071298 and 1293071307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118182 + ... + 128658.

It is an arithmetic number, because the mean of its divisors is an integer number (29265054).

Almost surely, 2^1293071340 is an apocalyptic number.

1293071340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293071340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107083888).

1293071340 is an abundant number, since it is smaller than the sum of its proper divisors (2921096436).

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

1293071340 is a wasteful number, since it uses less digits than its factorization.

1293071340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1293071340 is about 35959.3011611739. The cubic root of 1293071340 is about 1089.4504819245.

The spelling of 1293071340 in words is "one billion, two hundred ninety-three million, seventy-one thousand, three hundred forty".