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34004101071 = 3237197163439
BaseRepresentation
bin11111101010110011…
…010110011111001111
310020202210201022102210
4133222303112133033
51024120022213241
623342105521503
72312440042623
oct375263263717
9106683638383
1034004101071
111346a479476
12670baa3293
13328bac1385
141908149183
15d4040e316
hex7eacd67cf

34004101071 has 64 divisors (see below), whose sum is σ = 48879452160. Its totient is φ = 20980270080.

The previous prime is 34004101069. The next prime is 34004101151. The reversal of 34004101071 is 17010140043.

It is not a de Polignac number, because 34004101071 - 21 = 34004101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004101031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77457870 + ... + 77458308.

It is an arithmetic number, because the mean of its divisors is an integer number (763741440).

Almost surely, 234004101071 is an apocalyptic number.

34004101071 is a deficient number, since it is larger than the sum of its proper divisors (14875351089).

34004101071 is a wasteful number, since it uses less digits than its factorization.

34004101071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796.

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 34004101071 in words is "thirty-four billion, four million, one hundred one thousand, seventy-one".

Divisors: 1 3 23 69 71 97 163 213 291 439 489 1317 1633 2231 3749 4899 6693 6887 10097 11247 11573 15811 20661 30291 31169 34719 42583 47433 71557 93507 127749 158401 214671 266179 363653 475203 716887 798537 979409 1090959 1122581 1645811 2150661 2938227 3023393 3367743 4937433 5080547 6941029 9070179 15241641 20823087 25819363 69538039 77458089 116852581 159643667 208614117 350557743 478931001 492813059 1478439177 11334700357 34004101071