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34462228385 = 5131729718913
BaseRepresentation
bin100000000110000110…
…111101111110100001
310021221201202120222002
4200012012331332201
51031034312302020
623455353053345
72330002052024
oct400606757641
9107851676862
1034462228385
1113685036292
1268193b7255
1333329a5420
14194cd211bb
15d6a755975
hex8061bdfa1

34462228385 has 48 divisors (see below), whose sum is σ = 47799914736. Its totient is φ = 23703846912.

The previous prime is 34462228379. The next prime is 34462228391. The reversal of 34462228385 is 58382226443.

It is an interprime number because it is at equal distance from previous prime (34462228379) and next prime (34462228391).

It can be written as a sum of positive squares in 24 ways, for example, as 7247457424 + 27214770961 = 85132^2 + 164969^2 .

It is not a de Polignac number, because 34462228385 - 26 = 34462228321 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1812689 + ... + 1831601.

It is an arithmetic number, because the mean of its divisors is an integer number (995831557).

Almost surely, 234462228385 is an apocalyptic number.

It is an amenable number.

34462228385 is a deficient number, since it is larger than the sum of its proper divisors (13337686351).

34462228385 is a wasteful number, since it uses less digits than its factorization.

34462228385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19062 (or 19045 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The spelling of 34462228385 in words is "thirty-four billion, four hundred sixty-two million, two hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 5 13 17 65 85 97 221 289 485 1105 1261 1445 1649 3757 6305 8245 18785 18913 21437 28033 94565 107185 140165 245869 321521 364429 1229345 1607605 1822145 1834561 4179773 5465857 9172805 20898865 23849293 27329285 31187537 71056141 119246465 155937685 355280705 405437981 530188129 2027189905 2650940645 6892445677 34462228385