Search a number
-
+
34391016 = 233211173251
BaseRepresentation
bin1000001100110…
…0001111101000
32101201020121100
42003030033220
532301003031
63225041400
7565214232
oct203141750
971636540
1034391016
111845a530
12b626260
13718181a
1447d3252
153044de6
hex20cc3e8

34391016 has 96 divisors (see below), whose sum is σ = 102604320. Its totient is φ = 10320000.

The previous prime is 34390999. The next prime is 34391029. The reversal of 34391016 is 61019343.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 136891 + ... + 137141.

It is an arithmetic number, because the mean of its divisors is an integer number (1068795).

Almost surely, 234391016 is an apocalyptic number.

34391016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34391016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160).

34391016 is an abundant number, since it is smaller than the sum of its proper divisors (68213304).

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

34391016 is a wasteful number, since it uses less digits than its factorization.

34391016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34391016 is about 5864.3853897915. The cubic root of 34391016 is about 325.1983515028.

The spelling of 34391016 in words is "thirty-four million, three hundred ninety-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 173 198 251 264 346 396 502 519 692 753 792 1004 1038 1384 1506 1557 1903 2008 2076 2259 2761 3012 3114 3806 4152 4518 5522 5709 6024 6228 7612 8283 9036 11044 11418 12456 15224 16566 17127 18072 22088 22836 24849 33132 34254 43423 45672 49698 66264 68508 86846 99396 130269 137016 173692 198792 260538 347384 390807 477653 521076 781614 955306 1042152 1432959 1563228 1910612 2865918 3126456 3821224 4298877 5731836 8597754 11463672 17195508 34391016