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677671317 = 323710120149
BaseRepresentation
bin101000011001000…
…111000110010101
31202020011021021200
4220121013012111
52341440440232
6151124503113
722536053061
oct5031070625
91666137250
10677671317
11318589544
1216ab4aa99
13aa52205b
1466004aa1
153e76177c
hex28647195

677671317 has 24 divisors (see below), whose sum is σ = 1015318200. Its totient is φ = 435196800.

The previous prime is 677671307. The next prime is 677671327. The reversal of 677671317 is 713176776.

It is an interprime number because it is at equal distance from previous prime (677671307) and next prime (677671327).

It can be written as a sum of positive squares in 4 ways, for example, as 411035076 + 266636241 = 20274^2 + 16329^2 .

It is not a de Polignac number, because 677671317 - 28 = 677671061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677671307) 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 23 ways as a sum of consecutive naturals, for example, 23559 + ... + 43707.

It is an arithmetic number, because the mean of its divisors is an integer number (42304925).

Almost surely, 2677671317 is an apocalyptic number.

It is an amenable number.

677671317 is a deficient number, since it is larger than the sum of its proper divisors (337646883).

677671317 is a wasteful number, since it uses less digits than its factorization.

677671317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20293 (or 20290 counting only the distinct ones).

The product of its digits is 259308, while the sum is 45.

The square root of 677671317 is about 26032.1208701865. The cubic root of 677671317 is about 878.3609802620.

The spelling of 677671317 in words is "six hundred seventy-seven million, six hundred seventy-one thousand, three hundred seventeen".

Divisors: 1 3 9 37 101 111 303 333 909 3737 11211 20149 33633 60447 181341 745513 2035049 2236539 6105147 6709617 18315441 75296813 225890439 677671317