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34006671 = 3241157587
BaseRepresentation
bin1000000110111…
…0011010001111
32100222201101100
42001232122033
532201203141
63212514143
7562023546
oct201563217
970881340
1034006671
1118217796
12b47b953
1370788ba
14473315d
152ebb0b6
hex206e68f

34006671 has 24 divisors (see below), whose sum is σ = 50725584. Its totient is φ = 21939840.

The previous prime is 34006669. The next prime is 34006691. The reversal of 34006671 is 17660043.

34006671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34006671 - 21 = 34006669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57640 + ... + 58226.

It is an arithmetic number, because the mean of its divisors is an integer number (2113566).

Almost surely, 234006671 is an apocalyptic number.

34006671 is a deficient number, since it is larger than the sum of its proper divisors (16718913).

34006671 is a wasteful number, since it uses less digits than its factorization.

34006671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 34006671 is about 5831.5239003197. The cubic root of 34006671 is about 323.9823664386.

The spelling of 34006671 in words is "thirty-four million, six thousand, six hundred seventy-one".

Divisors: 1 3 9 41 123 157 369 471 587 1413 1761 5283 6437 19311 24067 57933 72201 92159 216603 276477 829431 3778519 11335557 34006671