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34105060 = 22511217829
BaseRepresentation
bin1000001000011…
…0011011100100
32101011201100101
42002012123210
532212330220
63214553444
7562613443
oct202063344
971151311
1034105060
1118284700
12b508884
1370b1612
14475ad5a
152eda30a
hex20866e4

34105060 has 72 divisors (see below), whose sum is σ = 83454840. Its totient is φ = 11658240.

The previous prime is 34105037. The next prime is 34105069. The reversal of 34105060 is 6050143.

It can be written as a sum of positive squares in 4 ways, for example, as 8054244 + 26050816 = 2838^2 + 5104^2 .

It is not an unprimeable number, because it can be changed into a prime (34105069) 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, 40726 + ... + 41554.

It is an arithmetic number, because the mean of its divisors is an integer number (1159095).

Almost surely, 234105060 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 34105060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41727420).

34105060 is an abundant number, since it is smaller than the sum of its proper divisors (49349780).

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

34105060 is a wasteful number, since it uses less digits than its factorization.

34105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 34105060 is about 5839.9537669403. The cubic root of 34105060 is about 324.2945170417.

The spelling of 34105060 in words is "thirty-four million, one hundred five thousand, sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 829 935 1210 1658 1870 2057 2420 3316 3740 4114 4145 8228 8290 9119 10285 14093 16580 18238 20570 28186 36476 41140 45595 56372 70465 91190 100309 140930 155023 182380 200618 281860 310046 401236 501545 620092 775115 1003090 1550230 1705253 2006180 3100460 3410506 6821012 8526265 17052530 34105060