Search a number
-
+
3268948716 = 2232118399839
BaseRepresentation
bin1100001011011000…
…0011001011101100
322102211002210121200
43002312003023230
523143322324331
61300212525500
7144002414505
oct30266031354
98384083550
103268948716
111428266610
12772920890
1340132c9a7
14230215bac
15141ebc5e6
hexc2d832ec

3268948716 has 72 divisors (see below), whose sum is σ = 9026035200. Its totient is φ = 989309280.

The previous prime is 3268948699. The next prime is 3268948733. The reversal of 3268948716 is 6178498623.

It is an interprime number because it is at equal distance from previous prime (3268948699) and next prime (3268948733).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327325 + ... + 337163.

It is an arithmetic number, because the mean of its divisors is an integer number (125361600).

Almost surely, 23268948716 is an apocalyptic number.

3268948716 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 3268948716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513017600).

3268948716 is an abundant number, since it is smaller than the sum of its proper divisors (5757086484).

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

3268948716 is a wasteful number, since it uses less digits than its factorization.

3268948716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10694 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3268948716 is about 57174.7209525329. The cubic root of 3268948716 is about 1484.1212009563.

The spelling of 3268948716 in words is "three billion, two hundred sixty-eight million, nine hundred forty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 839 1678 2517 3356 5034 7551 9229 9839 10068 15102 18458 19678 27687 29517 30204 36916 39356 55374 59034 83061 88551 108229 110748 118068 166122 177102 216458 324687 332244 354204 432916 649374 974061 1298748 1948122 3896244 8254921 16509842 24764763 33019684 49529526 74294289 90804131 99059052 148588578 181608262 272412393 297177156 363216524 544824786 817237179 1089649572 1634474358 3268948716