Search a number
-
+
3339998064 = 24361322027
BaseRepresentation
bin1100011100010100…
…0101001101110000
322121202210111000000
43013011011031300
523320014414224
61311231430000
7145524341454
oct30705051560
98552714000
103339998064
111464383a87
12792685300
13412c78020
1423982c664
151483540c9
hexc7145370

3339998064 has 140 divisors (see below), whose sum is σ = 10449246136. Its totient is φ = 1027645056.

The previous prime is 3339998017. The next prime is 3339998071. The reversal of 3339998064 is 4608999333.

It is a happy number.

It is a super-2 number, since 2×33399980642 = 22311174135047496192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3339998064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 140619 + ... + 162645.

Almost surely, 23339998064 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 3339998064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224623068).

3339998064 is an abundant number, since it is smaller than the sum of its proper divisors (7109248072).

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

3339998064 is a wasteful number, since it uses less digits than its factorization.

3339998064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22066 (or 22045 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3339998064 is about 57792.7163576865. The cubic root of 3339998064 is about 1494.7964979170.

The spelling of 3339998064 in words is "three billion, three hundred thirty-nine million, nine hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 16848 18954 22027 25272 37908 44054 50544 66081 75816 88108 132162 151632 176216 198243 264324 286351 352432 396486 528648 572702 594729 792972 859053 1057296 1145404 1189458 1585944 1718106 1784187 2290808 2378916 2577159 3171888 3436212 3568374 4581616 4757832 5154318 5352561 6872424 7136748 7731477 9515664 10308636 10705122 13744848 14273496 15462954 16057683 20617272 21410244 23194431 28546992 30925908 32115366 41234544 42820488 46388862 61851816 64230732 69583293 85640976 92777724 123703632 128461464 139166586 185555448 208749879 256922928 278333172 371110896 417499758 556666344 834999516 1113332688 1669999032 3339998064