Search a number
-
+
34159314 = 2374183239
BaseRepresentation
bin1000001001001…
…1101011010010
32101021110202210
42002103223102
532221044224
63220052550
7563230560
oct202235322
971243683
1034159314
1118311442
12b534156
137100217
144772a30
152eeb429
hex2093ad2

34159314 has 64 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 9367680.

The previous prime is 34159313. The next prime is 34159319. The reversal of 34159314 is 41395143.

It is not an unprimeable number, because it can be changed into a prime (34159313) 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 31 ways as a sum of consecutive naturals, for example, 142807 + ... + 143045.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 234159314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34159314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

34159314 is an abundant number, since it is smaller than the sum of its proper divisors (47125806).

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

34159314 is a wasteful number, since it uses less digits than its factorization.

34159314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 6480, while the sum is 30.

The square root of 34159314 is about 5844.5969920945. The cubic root of 34159314 is about 324.4663874656.

The spelling of 34159314 in words is "thirty-four million, one hundred fifty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 83 123 166 239 246 249 287 478 498 574 581 717 861 1162 1434 1673 1722 1743 3346 3403 3486 5019 6806 9799 10038 10209 19598 19837 20418 23821 29397 39674 47642 58794 59511 68593 71463 119022 137186 138859 142926 205779 277718 411558 416577 813317 833154 1626634 2439951 4879902 5693219 11386438 17079657 34159314