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34393973841 = 35238374143
BaseRepresentation
bin100000000010000010…
…100110010001010001
310021202222022220100000
4200002002212101101
51030414324130331
623444514120213
72325212645133
oct400202462121
9107688286300
1034393973841
111364a557677
1267ba580069
1333217c8216
141943c35053
15d647720e6
hex8020a6451

34393973841 has 48 divisors (see below), whose sum is σ = 54408646656. Its totient is φ = 21667851216.

The previous prime is 34393973821. The next prime is 34393973849. The reversal of 34393973841 is 14837939343.

It is not a de Polignac number, because 34393973841 - 26 = 34393973777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34393973849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426816 + ... + 500958.

It is an arithmetic number, because the mean of its divisors is an integer number (1133513472).

Almost surely, 234393973841 is an apocalyptic number.

It is an amenable number.

34393973841 is a deficient number, since it is larger than the sum of its proper divisors (20014672815).

34393973841 is an equidigital number, since it uses as much as digits as its factorization.

34393973841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74264 (or 74252 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 34393973841 in words is "thirty-four billion, three hundred ninety-three million, nine hundred seventy-three thousand, eight hundred forty-one".

Divisors: 1 3 9 23 27 69 81 83 207 243 249 621 747 1863 1909 2241 5589 5727 6723 17181 20169 51543 74143 154629 222429 463887 667287 1705289 2001861 5115867 6005583 6153869 15347601 18016749 18461607 46042803 55384821 138128409 141538987 166154463 414385227 424616961 498463389 1273850883 1495390167 3821552649 11464657947 34393973841