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516340314 = 232719215681
BaseRepresentation
bin11110110001101…
…011101001011010
31022222120210202100
4132301223221122
52024140342224
6123122544230
715536551230
oct3661535132
91288523670
10516340314
11245508136
12124b08076
1382c86819
144c80a950
15304e4ac9
hex1ec6ba5a

516340314 has 48 divisors (see below), whose sum is σ = 1345855680. Its totient is φ = 139760640.

The previous prime is 516340313. The next prime is 516340343. The reversal of 516340314 is 413043615.

516340314 is a `hidden beast` number, since 5 + 1 + 6 + 340 + 314 = 666.

It is not an unprimeable number, because it can be changed into a prime (516340313) 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 23 ways as a sum of consecutive naturals, for example, 105447 + ... + 110234.

It is an arithmetic number, because the mean of its divisors is an integer number (28038660).

Almost surely, 2516340314 is an apocalyptic number.

516340314 is an abundant number, since it is smaller than the sum of its proper divisors (829515366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516340314 is a wasteful number, since it uses less digits than its factorization.

516340314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215715 (or 215712 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516340314 is about 22723.1228927716. The cubic root of 516340314 is about 802.2542223443.

Adding to 516340314 its reverse (413043615), we get a palindrome (929383929).

The spelling of 516340314 in words is "five hundred sixteen million, three hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 215681 431362 647043 1294086 1509767 1941129 3019534 3882258 4097939 4529301 8195878 9058602 12293817 13587903 24587634 27175806 28685573 36881451 57371146 73762902 86056719 172113438 258170157 516340314