306444641 has 6 divisors (see below), whose sum is σ = 316649826. Its totient is φ = 296558400.

The previous prime is 306444613. The next prime is 306444647. The reversal of 306444641 is 146444603.

It can be written as a sum of positive squares in only one way, i.e., 300294241 + 6150400 = 17329^2 + 2480^2 .

It is not a de Polignac number, because 306444641 - 2¹⁸ = 306182497 is a prime.

It is a super-3 number, since 3×306444641³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 306444598 and 306444607.

It is not an unprimeable number, because it can be changed into a prime (306444647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158480 + ... + 160401.

It is an arithmetic number, because the mean of its divisors is an integer number (52774971).

Almost surely, 2^306444641 is an apocalyptic number.

306444641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

306444641 is a deficient number, since it is larger than the sum of its proper divisors (10205185).

306444641 is an equidigital number, since it uses as much as digits as its factorization.

306444641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318943 (or 318912 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 306444641 is about 17505.5602880913. The cubic root of 306444641 is about 674.1926449649.

The spelling of 306444641 in words is "three hundred six million, four hundred forty-four thousand, six hundred forty-one".