1306190340 has 384 divisors, whose sum is σ = 5268480000. Its totient is φ = 260900352.

The previous prime is 1306190329. The next prime is 1306190381. The reversal of 1306190340 is 430916031.

1306190340 is a `hidden beast` number, since 1 + 3 + 0 + 619 + 0 + 3 + 40 = 666.

It is a super-2 number, since 2×1306190340² = 3412266408618631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 932961 + ... + 934359.

It is an arithmetic number, because the mean of its divisors is an integer number (13720000).

Almost surely, 2^1306190340 is an apocalyptic number.

1306190340 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 1306190340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634240000).

1306190340 is an abundant number, since it is smaller than the sum of its proper divisors (3962289660).

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

1306190340 is a wasteful number, since it uses less digits than its factorization.

1306190340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1306190340 is about 36141.2553738799. The cubic root of 1306190340 is about 1093.1224721836.

The spelling of 1306190340 in words is "one billion, three hundred six million, one hundred ninety thousand, three hundred forty".