Search a number
-
+
313807301 = 17104917597
BaseRepresentation
bin10010101101000…
…101000111000101
3210212111001200122
4102231011013011
51120313313201
651045551325
710530214043
oct2255050705
9725431618
10313807301
11151155085
1289115545
13500235c2
142d969393
151c839e1b
hex12b451c5

313807301 has 8 divisors (see below), whose sum is σ = 332602200. Its totient is φ = 295049728.

The previous prime is 313807283. The next prime is 313807309. The reversal of 313807301 is 103708313.

It can be written as a sum of positive squares in 4 ways, for example, as 63218401 + 250588900 = 7951^2 + 15830^2 .

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 313807301 - 26 = 313807237 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 (313807309) 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 7 ways as a sum of consecutive naturals, for example, 9035 + ... + 26631.

It is an arithmetic number, because the mean of its divisors is an integer number (41575275).

Almost surely, 2313807301 is an apocalyptic number.

It is an amenable number.

313807301 is a deficient number, since it is larger than the sum of its proper divisors (18794899).

313807301 is a wasteful number, since it uses less digits than its factorization.

313807301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18663.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 313807301 is about 17714.6069953584. The cubic root of 313807301 is about 679.5493705558.

The spelling of 313807301 in words is "three hundred thirteen million, eight hundred seven thousand, three hundred one".

Divisors: 1 17 1049 17597 17833 299149 18459253 313807301