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34006667067 = 3239711818059
BaseRepresentation
bin11111101010111101…
…001000111100111011
310020202222112200022200
4133222331020330323
51024121201321232
623342240521243
72312500620642
oct375275107473
9106688480280
1034006667067
111347097132a
126710920223
13328c4ac309
141908616359
15d4076977c
hex7eaf48f3b

34006667067 has 24 divisors (see below), whose sum is σ = 49292284080. Its totient is φ = 22592053440.

The previous prime is 34006666999. The next prime is 34006667099. The reversal of 34006667067 is 76076660043.

It is not a de Polignac number, because 34006667067 - 212 = 34006662971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34006667767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4215684 + ... + 4223742.

It is an arithmetic number, because the mean of its divisors is an integer number (2053845170).

Almost surely, 234006667067 is an apocalyptic number.

34006667067 is a deficient number, since it is larger than the sum of its proper divisors (15285617013).

34006667067 is a wasteful number, since it uses less digits than its factorization.

34006667067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 34006667067 in words is "thirty-four billion, six million, six hundred sixty-seven thousand, sixty-seven".

Divisors: 1 3 9 397 1181 1191 3543 3573 8059 10629 24177 72531 468857 1406571 3199423 4219713 9517679 9598269 28553037 28794807 85659111 3778518563 11335555689 34006667067