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679066353 = 32728231871
BaseRepresentation
bin101000011110011…
…011101011110001
31202022210010220200
4220132123223301
52342320110403
6151214425413
722553653200
oct5036335361
91668703820
10679066353
11319351669
1216b502269
13aa8c0014
1466289237
153e939ca3
hex2879baf1

679066353 has 36 divisors (see below), whose sum is σ = 1143013248. Its totient is φ = 387359280.

The previous prime is 679066307. The next prime is 679066379. The reversal of 679066353 is 353660976.

679066353 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 6 + 635 + 3 = 666.

It is not a de Polignac number, because 679066353 - 28 = 679066097 is a prime.

It is a super-2 number, since 2×6790663532 = 922262223553441218, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 679066299 and 679066308.

It is not an unprimeable number, because it can be changed into a prime (679061353) 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 35 ways as a sum of consecutive naturals, for example, 362008 + ... + 363878.

It is an arithmetic number, because the mean of its divisors is an integer number (31750368).

Almost surely, 2679066353 is an apocalyptic number.

679066353 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

679066353 is a deficient number, since it is larger than the sum of its proper divisors (463946895).

679066353 is a wasteful number, since it uses less digits than its factorization.

679066353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 679066353 is about 26058.9016077040. The cubic root of 679066353 is about 878.9632906039.

The spelling of 679066353 in words is "six hundred seventy-nine million, sixty-six thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 441 823 1871 2469 5613 5761 7407 13097 16839 17283 39291 40327 51849 91679 117873 120981 275037 362943 825111 1539833 4619499 10778831 13858497 32336493 75451817 97009479 226355451 679066353