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34340139669 = 3117120817043
BaseRepresentation
bin11111111110110101…
…001111001010010101
310021122020000211201210
4133332311033022111
51030312033432134
623435312212033
72323660241163
oct377665171225
9107566024653
1034340139669
1113622128220
1267a453a019
1333135c9894
14193aa20233
15d5eb8b2e9
hex7fed4f295

34340139669 has 32 divisors (see below), whose sum is σ = 50684341248. Its totient is φ = 20506304000.

The previous prime is 34340139667. The next prime is 34340139679. The reversal of 34340139669 is 96693104343.

It is a cyclic number.

It is not a de Polignac number, because 34340139669 - 21 = 34340139667 is a prime.

It is a super-3 number, since 3×343401396693 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340139667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4872262 + ... + 4879304.

It is an arithmetic number, because the mean of its divisors is an integer number (1583885664).

Almost surely, 234340139669 is an apocalyptic number.

It is an amenable number.

34340139669 is a deficient number, since it is larger than the sum of its proper divisors (16344201579).

34340139669 is a wasteful number, since it uses less digits than its factorization.

34340139669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209.

The product of its (nonzero) digits is 1259712, while the sum is 48.

The spelling of 34340139669 in words is "thirty-four billion, three hundred forty million, one hundred thirty-nine thousand, six hundred sixty-nine".

Divisors: 1 3 11 33 71 213 781 2081 2343 6243 7043 21129 22891 68673 77473 147751 232419 443253 500053 1500159 1625261 4875783 5500583 14656483 16501749 43969449 161221313 483663939 1040610293 3121830879 11446713223 34340139669