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34066221 = 3721912197
BaseRepresentation
bin1000000111110…
…0111100101101
32101002202001220
42001330330231
532210104341
63214053553
7562362300
oct201747455
971082056
1034066221
1118258502
12b4aa2b9
137099a37
14474ab37
152ecda66
hex207cf2d

34066221 has 24 divisors (see below), whose sum is σ = 55622880. Its totient is φ = 18440352.

The previous prime is 34066199. The next prime is 34066247. The reversal of 34066221 is 12266043.

It is not a de Polignac number, because 34066221 - 27 = 34066093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34066191 and 34066200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3306 + ... + 8891.

It is an arithmetic number, because the mean of its divisors is an integer number (2317620).

Almost surely, 234066221 is an apocalyptic number.

It is an amenable number.

34066221 is a deficient number, since it is larger than the sum of its proper divisors (21556659).

34066221 is a wasteful number, since it uses less digits than its factorization.

34066221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34066221 is about 5836.6275365146. The cubic root of 34066221 is about 324.1713675837.

The spelling of 34066221 in words is "thirty-four million, sixty-six thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 12197 36591 85379 231743 256137 597653 695229 1622201 1792959 4866603 11355407 34066221