Search a number
-
+
300400349 is a prime number
BaseRepresentation
bin10001111001111…
…011111011011101
3202221020220210212
4101321323323131
51103400302344
645450342205
710305234524
oct2171737335
9687226725
10300400349
11144628257
128472a965
134a30b0b2
142bc794bb
151b58c79e
hex11e7bedd

300400349 has 2 divisors, whose sum is σ = 300400350. Its totient is φ = 300400348.

The previous prime is 300400333. The next prime is 300400351. The reversal of 300400349 is 943004003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258888100 + 41512249 = 16090^2 + 6443^2 .

It is an emirp because it is prime and its reverse (943004003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300400349 - 24 = 300400333 is a prime.

Together with 300400351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300400369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150200174 + 150200175.

It is an arithmetic number, because the mean of its divisors is an integer number (150200175).

Almost surely, 2300400349 is an apocalyptic number.

It is an amenable number.

300400349 is a deficient number, since it is larger than the sum of its proper divisors (1).

300400349 is an equidigital number, since it uses as much as digits as its factorization.

300400349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 300400349 is about 17332.0613026841. The cubic root of 300400349 is about 669.7306030626.

The spelling of 300400349 in words is "three hundred million, four hundred thousand, three hundred forty-nine".