Search a number
-
+
34358020 = 22517139727
BaseRepresentation
bin1000001100010…
…0001100000100
32101122120100021
42003010030010
532243424040
63224224524
7565016104
oct203041404
971576307
1034358020
1118437764
12b60b144
13716c7b8
1447c5204
15303a24a
hex20c4304

34358020 has 48 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 12824064.

The previous prime is 34357997. The next prime is 34358033. The reversal of 34358020 is 2085343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46897 + ... + 47623.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 234358020 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 34358020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

34358020 is an abundant number, since it is smaller than the sum of its proper divisors (42693500).

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

34358020 is a wasteful number, since it uses less digits than its factorization.

34358020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 34358020 is about 5861.5714616475. The cubic root of 34358020 is about 325.0943158219.

The spelling of 34358020 in words is "thirty-four million, three hundred fifty-eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 727 1390 1454 2363 2780 2908 3635 4726 7270 9452 11815 12359 14540 23630 24718 47260 49436 61795 101053 123590 202106 247180 404212 505265 1010530 1717901 2021060 3435802 6871604 8589505 17179010 34358020