1020305349 has 32 divisors (see below), whose sum is σ = 1756800000. Its totient is φ = 573143472.

The previous prime is 1020305329. The next prime is 1020305353. The reversal of 1020305349 is 9435030201.

1020305349 is a `hidden beast` number, since 10 + 2 + 0 + 305 + 349 = 666.

It is not a de Polignac number, because 1020305349 - 2²⁸ = 751869893 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020305329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34599 + ... + 56900.

It is an arithmetic number, because the mean of its divisors is an integer number (54900000).

Almost surely, 2^1020305349 is an apocalyptic number.

It is an amenable number.

1020305349 is a deficient number, since it is larger than the sum of its proper divisors (736494651).

1020305349 is an equidigital number, since it uses as much as digits as its factorization.

1020305349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91574 (or 91568 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1020305349 is about 31942.2189116536. The cubic root of 1020305349 is about 1006.7231476552.

The spelling of 1020305349 in words is "one billion, twenty million, three hundred five thousand, three hundred forty-nine".