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34066896 = 2431017027
BaseRepresentation
bin1000000111110…
…1000111010000
32101002202222220
42001331013100
532210120041
63214101040
7562364253
oct201750720
971082886
1034066896
1118258a66
12b4aa780
13709a136
14474b09a
152ecdd66
hex207d1d0

34066896 has 40 divisors (see below), whose sum is σ = 88890144. Its totient is φ = 11241600.

The previous prime is 34066873. The next prime is 34066897. The reversal of 34066896 is 69866043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335 + ... + 8361.

Almost surely, 234066896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34066896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44445072).

34066896 is an abundant number, since it is smaller than the sum of its proper divisors (54823248).

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

34066896 is a wasteful number, since it uses less digits than its factorization.

34066896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 34066896 is about 5836.6853607163. The cubic root of 34066896 is about 324.1735086511.

The spelling of 34066896 in words is "thirty-four million, sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 7027 14054 21081 28108 42162 56216 84324 112432 168648 337296 709727 1419454 2129181 2838908 4258362 5677816 8516724 11355632 17033448 34066896