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3317813345 = 571121941233
BaseRepresentation
bin1100010111000001…
…1101000001100001
322120020001101021202
43011300131001201
523243330011340
61305120130545
7145134643130
oct30560350141
98506041252
103317813345
111452901300
12787166a55
1340b4ab382
142368d5917
15146420c15
hexc5c1d061

3317813345 has 48 divisors (see below), whose sum is σ = 5264757120. Its totient is φ = 1959344640.

The previous prime is 3317813341. The next prime is 3317813377. The reversal of 3317813345 is 5433187133.

It is a happy number.

It is not a de Polignac number, because 3317813345 - 22 = 3317813341 is a prime.

It is a super-2 number, since 2×33178133452 = 22015770784520178050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3317813299 and 3317813308.

It is not an unprimeable number, because it can be changed into a prime (3317813341) 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 47 ways as a sum of consecutive naturals, for example, 59849 + ... + 101081.

It is an arithmetic number, because the mean of its divisors is an integer number (109682440).

Almost surely, 23317813345 is an apocalyptic number.

3317813345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3317813345 is a deficient number, since it is larger than the sum of its proper divisors (1946943775).

3317813345 is a wasteful number, since it uses less digits than its factorization.

3317813345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41286 (or 41275 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 3317813345 is about 57600.4630623748. The cubic root of 3317813345 is about 1491.4795964164.

The spelling of 3317813345 in words is "three billion, three hundred seventeen million, eight hundred thirteen thousand, three hundred forty-five".

Divisors: 1 5 7 11 19 35 55 77 95 121 133 209 385 605 665 847 1045 1463 2299 4235 7315 11495 16093 41233 80465 206165 288631 453563 783427 1443155 2267815 3174941 3917135 4989193 5483989 8617697 15874705 24945965 27419945 34924351 43088485 60323879 94794667 174621755 301619395 473973335 663562669 3317813345