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34527066 = 237319883
BaseRepresentation
bin1000001110110…
…1011101011010
32101222011020020
42003231131122
532314331231
63232011310
7566322000
oct203553532
971864206
1034527066
1118542772
12b690b36
1371cb722
14482aa70
153070396
hex20ed75a

34527066 has 64 divisors (see below), whose sum is σ = 84864000. Its totient is φ = 9335088.

The previous prime is 34527061. The next prime is 34527079. The reversal of 34527066 is 66072543.

It is not an unprimeable number, because it can be changed into a prime (34527061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38661 + ... + 39543.

It is an arithmetic number, because the mean of its divisors is an integer number (1326000).

Almost surely, 234527066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34527066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432000).

34527066 is an abundant number, since it is smaller than the sum of its proper divisors (50336934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34527066 is a wasteful number, since it uses less digits than its factorization.

34527066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 34527066 is about 5875.9736214520. The cubic root of 34527066 is about 325.6266127857.

The spelling of 34527066 in words is "thirty-four million, five hundred twenty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 883 931 1029 1766 1862 2058 2649 2793 5298 5586 6181 6517 12362 13034 16777 18543 19551 33554 37086 39102 43267 50331 86534 100662 117439 129801 234878 259602 302869 352317 605738 704634 822073 908607 1644146 1817214 2466219 4932438 5754511 11509022 17263533 34527066