Search a number
-
+
301005149 = 4110172689
BaseRepresentation
bin10001111100001…
…111100101011101
3202222101122102212
4101330033211131
51104024131044
645511330205
710313334014
oct2174174535
9688348385
10301005149
11144a00695
1284980965
134a490473
142bd95a7b
151b65ba9e
hex11f0f95d

301005149 has 8 divisors (see below), whose sum is σ = 311403960. Its totient is φ = 290752000.

The previous prime is 301005143. The next prime is 301005151. The reversal of 301005149 is 941500103.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7739524 + 293265625 = 2782^2 + 17125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 301005149 - 212 = 301001053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301005143) 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 7 ways as a sum of consecutive naturals, for example, 32204 + ... + 40485.

It is an arithmetic number, because the mean of its divisors is an integer number (38925495).

Almost surely, 2301005149 is an apocalyptic number.

It is an amenable number.

301005149 is a deficient number, since it is larger than the sum of its proper divisors (10398811).

301005149 is a wasteful number, since it uses less digits than its factorization.

301005149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72831.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 301005149 is about 17349.4999639759. The cubic root of 301005149 is about 670.1797609290.

The spelling of 301005149 in words is "three hundred one million, five thousand, one hundred forty-nine".

Divisors: 1 41 101 4141 72689 2980249 7341589 301005149