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34434077671 = 731793491607
BaseRepresentation
bin100000000100011011…
…100101001111100111
310021212202210101110001
4200010123211033213
51031010110441141
623452505442131
72326210555000
oct400433451747
9107782711401
1034434077671
1113670159234
12680baa0347
133329bca0b6
1419492b41a7
15d68044a31
hex8046e53e7

34434077671 has 32 divisors (see below), whose sum is σ = 40521600000. Its totient is φ = 29247726816.

The previous prime is 34434077659. The next prime is 34434077693. The reversal of 34434077671 is 17677043443.

It is not a de Polignac number, because 34434077671 - 225 = 34400523239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434077611) 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 31 ways as a sum of consecutive naturals, for example, 21426750 + ... + 21428356.

It is an arithmetic number, because the mean of its divisors is an integer number (1266300000).

Almost surely, 234434077671 is an apocalyptic number.

34434077671 is a deficient number, since it is larger than the sum of its proper divisors (6087522329).

34434077671 is a wasteful number, since it uses less digits than its factorization.

34434077671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 46.

The spelling of 34434077671 in words is "thirty-four billion, four hundred thirty-four million, seventy-seven thousand, six hundred seventy-one".

Divisors: 1 7 49 179 343 349 1253 1607 2443 8771 11249 17101 61397 62471 78743 119707 287653 437297 551201 560843 2013571 3061079 3925901 14094997 21427553 27481307 98664979 100390897 192369149 702736279 4919153953 34434077671