Search a number
-
+
34258387350 = 235211130115959
BaseRepresentation
bin11111111001111101…
…011000000110010110
310021102112012101122010
4133321331120012112
51030130121343400
623423232045050
72321645326215
oct377175300626
9107375171563
1034258387350
111358aa6a520
126781093786
1332cc6a4a25
14192dc1d07c
15d578dd450
hex7f9f58196

34258387350 has 96 divisors (see below), whose sum is σ = 92761562880. Its totient is φ = 8298160000.

The previous prime is 34258387337. The next prime is 34258387439. The reversal of 34258387350 is 5378385243.

It is a self number, because there is not a number n which added to its sum of digits gives 34258387350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2138671 + ... + 2154629.

It is an arithmetic number, because the mean of its divisors is an integer number (966266280).

Almost surely, 234258387350 is an apocalyptic number.

34258387350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34258387350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46380781440).

34258387350 is an abundant number, since it is smaller than the sum of its proper divisors (58503175530).

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

34258387350 is a wasteful number, since it uses less digits than its factorization.

34258387350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286 (or 17281 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 34258387350 in words is "thirty-four billion, two hundred fifty-eight million, three hundred eighty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1301 1650 2602 3903 6505 7806 13010 14311 15959 19515 28622 31918 32525 39030 42933 47877 65050 71555 79795 85866 95754 97575 143110 159590 175549 195150 214665 239385 351098 357775 398975 429330 478770 526647 715550 797950 877745 1053294 1073325 1196925 1755490 2146650 2393850 2633235 4388725 5266470 8777450 13166175 20762659 26332350 41525318 62287977 103813295 124575954 207626590 228389249 311439885 456778498 519066475 622879770 685167747 1038132950 1141946245 1370335494 1557199425 2283892490 3114398850 3425838735 5709731225 6851677470 11419462450 17129193675 34258387350