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34112340243 = 351011638527
BaseRepresentation
bin11111110001010000…
…010000000100010011
310021001100101102200000
4133301100100010103
51024330224341433
623400533501043
72315223052002
oct376120200423
9107040342600
1034112340243
1113515588133
1267401a1783
1332a835b117
141918682c39
15d49b90113
hex7f1410113

34112340243 has 48 divisors (see below), whose sum is σ = 51926923776. Its totient is φ = 22375634400.

The previous prime is 34112340239. The next prime is 34112340253. The reversal of 34112340243 is 34204321143.

34112340243 is a `hidden beast` number, since 3 + 411 + 2 + 3 + 4 + 0 + 243 = 666.

It is not a de Polignac number, because 34112340243 - 22 = 34112340239 is a prime.

It is a super-3 number, since 3×341123402433 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34112340203) 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, 3996246 + ... + 4004772.

It is an arithmetic number, because the mean of its divisors is an integer number (1081810912).

Almost surely, 234112340243 is an apocalyptic number.

34112340243 is a deficient number, since it is larger than the sum of its proper divisors (17814583533).

34112340243 is a wasteful number, since it uses less digits than its factorization.

34112340243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34112340243 its reverse (34204321143), we get a palindrome (68316661386).

The spelling of 34112340243 in words is "thirty-four billion, one hundred twelve million, three hundred forty thousand, two hundred forty-three".

Divisors: 1 3 9 27 81 101 163 243 303 489 909 1467 2727 4401 8181 8527 13203 16463 24543 25581 39609 49389 76743 148167 230229 444501 690687 861227 1333503 1389901 2072061 2583681 4000509 4169703 7751043 12509109 23253129 37527327 69759387 112581981 140380001 209278161 337745943 421140003 1263420009 3790260027 11370780081 34112340243