306005049 has 63 divisors (see below), whose sum is σ = 547792687. Its totient is φ = 164574144.

The previous prime is 306005003. The next prime is 306005081. The reversal of 306005049 is 940500603.

It is a happy number.

The square root of 306005049 is 17493.

It is a perfect power (a square), and thus also a powerful number.

306005049 is a `hidden beast` number, since 3 + 0 + 600 + 50 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238239225 + 67765824 = 15435^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 306005049 - 2¹³ = 305996857 is a prime.

It is a Duffinian number.

306005049 is a modest number, since divided by 5049 gives 306 as remainder.

It is not an unprimeable number, because it can be changed into a prime (306005449) 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 62 ways as a sum of consecutive naturals, for example, 18000289 + ... + 18000305.

Almost surely, 2^306005049 is an apocalyptic number.

306005049 is the 17493-rd square number.

306005049 is the 8747-th centered octagonal number.

It is an amenable number.

306005049 is a deficient number, since it is larger than the sum of its proper divisors (241787638).

306005049 is an frugal number, since it uses more digits than its factorization.

306005049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

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

The cubic root of 306005049 is about 673.8701163254.

The spelling of 306005049 in words is "three hundred six million, five thousand, forty-nine".