Search a number
-
+
314636513 = 10119316141
BaseRepresentation
bin10010110000001…
…111100011100001
3210221001012011012
4102300033203201
51121021332023
651115430305
710540236422
oct2260174341
9727035135
10314636513
11151671084
1289455395
1350253b69
142db03649
151c950978
hex12c0f8e1

314636513 has 8 divisors (see below), whose sum is σ = 319417896. Its totient is φ = 309888000.

The previous prime is 314636477. The next prime is 314636519. The reversal of 314636513 is 315636413.

It can be written as a sum of positive squares in 4 ways, for example, as 73393489 + 241243024 = 8567^2 + 15532^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314636513 is a prime.

It is a super-2 number, since 2×3146365132 = 197992270625598338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314636513.

It is not an unprimeable number, because it can be changed into a prime (314636519) 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, 11423 + ... + 27563.

It is an arithmetic number, because the mean of its divisors is an integer number (39927237).

Almost surely, 2314636513 is an apocalyptic number.

It is an amenable number.

314636513 is a deficient number, since it is larger than the sum of its proper divisors (4781383).

314636513 is a wasteful number, since it uses less digits than its factorization.

314636513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16435.

The product of its digits is 19440, while the sum is 32.

The square root of 314636513 is about 17737.9963073623. The cubic root of 314636513 is about 680.1473966812.

The spelling of 314636513 in words is "three hundred fourteen million, six hundred thirty-six thousand, five hundred thirteen".

Divisors: 1 101 193 16141 19493 1630241 3115213 314636513