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34163982 = 23217971151
BaseRepresentation
bin1000001001010…
…0110100001110
32101021201011200
42002110310032
532221221412
63220130330
7563250306
oct202246416
971251150
1034163982
11183149a6
12b5369a6
137102398
144774606
152eec9dc
hex2094d0e

34163982 has 48 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 10598400.

The previous prime is 34163981. The next prime is 34164007. The reversal of 34163982 is 28936143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34163981) 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, 29107 + ... + 30257.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 234163982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34163982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

34163982 is an abundant number, since it is smaller than the sum of its proper divisors (45089010).

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

34163982 is a wasteful number, since it uses less digits than its factorization.

34163982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1270 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34163982 is about 5844.9963216413. The cubic root of 34163982 is about 324.4811666472.

The spelling of 34163982 in words is "thirty-four million, one hundred sixty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 582 873 1151 1649 1746 2302 3298 3453 4947 6906 9894 10359 14841 19567 20718 29682 39134 58701 111647 117402 176103 223294 334941 352206 669882 1004823 1897999 2009646 3795998 5693997 11387994 17081991 34163982