Search a number
-
+
34033033230 = 23572947118901
BaseRepresentation
bin11111101100100001…
…101110000000001110
310020211211011012220020
4133230201232000032
51024144424030410
623345022003010
72313241003140
oct375441560016
9106754135806
1034033033230
111348483a649
126719716466
133294ab12b1
14190bd1ac90
15d42c26a70
hex7ec86e00e

34033033230 has 128 divisors (see below), whose sum is σ = 98622074880. Its totient is φ = 7350873600.

The previous prime is 34033033213. The next prime is 34033033247. The reversal of 34033033230 is 3233033043.

It is an interprime number because it is at equal distance from previous prime (34033033213) and next prime (34033033247).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34033033230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226780 + ... + 345680.

It is an arithmetic number, because the mean of its divisors is an integer number (770484960).

Almost surely, 234033033230 is an apocalyptic number.

34033033230 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 34033033230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49311037440).

34033033230 is an abundant number, since it is smaller than the sum of its proper divisors (64589041650).

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

34033033230 is a wasteful number, since it uses less digits than its factorization.

34033033230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118994.

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 34033033230 its reverse (3233033043), we get a palindrome (37266066273).

The spelling of 34033033230 in words is "thirty-four billion, thirty-three million, thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 47 58 70 87 94 105 141 145 174 203 210 235 282 290 329 406 435 470 609 658 705 870 987 1015 1218 1363 1410 1645 1974 2030 2726 3045 3290 4089 4935 6090 6815 8178 9541 9870 13630 19082 20445 28623 40890 47705 57246 95410 118901 143115 237802 286230 356703 594505 713406 832307 1189010 1664614 1783515 2496921 3448129 3567030 4161535 4993842 5588347 6896258 8323070 10344387 11176694 12484605 16765041 17240645 20688774 24136903 24969210 27941735 33530082 34481290 39118429 48273806 51721935 55883470 72410709 78236858 83825205 103443870 117355287 120684515 144821418 162062063 167650410 195592145 234710574 241369030 324124126 362053545 391184290 486186189 586776435 724107090 810310315 972372378 1134434441 1173552870 1620620630 2268868882 2430930945 3403303323 4861861890 5672172205 6806606646 11344344410 17016516615 34033033230