Search a number
-
+
3354504322288 = 247172313343111
BaseRepresentation
bin110000110100001000000…
…010011101110011110000
3102212200120011200202101111
4300310020002131303300
5414430011101303123
611045012113243104
7464232513164230
oct60641002356360
912780504622344
103354504322288
111083701269029
12462160863494
131b4436659492
14b8504a7bcc0
155c3d1e3b90d
hex30d0809dcf0

3354504322288 has 120 divisors (see below), whose sum is σ = 8144997607424. Its totient is φ = 1309429324800.

The previous prime is 3354504322277. The next prime is 3354504322307. The reversal of 3354504322288 is 8822234054533.

It is a super-3 number, since 3×33545043222883 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 668148 + ... + 2674963.

Almost surely, 23354504322288 is an apocalyptic number.

It is an amenable number.

3354504322288 is an abundant number, since it is smaller than the sum of its proper divisors (4790493285136).

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

3354504322288 is a wasteful number, since it uses less digits than its factorization.

3354504322288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343191 (or 3343168 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 49.

The spelling of 3354504322288 in words is "three trillion, three hundred fifty-four billion, five hundred four million, three hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 289 434 476 496 527 578 868 952 1054 1156 1736 1904 2023 2108 2312 3472 3689 4046 4216 4624 7378 8092 8432 8959 14756 16184 17918 29512 32368 35836 59024 62713 71672 125426 143344 250852 501704 1003408 3343111 6686222 13372444 23401777 26744888 46803554 53489776 56832887 93607108 103636441 113665774 187214216 207272882 227331548 374428432 397830209 414545764 454663096 725455087 795660418 829091528 909326192 966159079 1450910174 1591320836 1658183056 1761819497 1932318158 2901820348 3182641672 3523638994 3864636316 5803640696 6365283344 6763113553 7047277988 7729272632 11607281392 12332736479 13526227106 14094555976 15458545264 24665472958 27052454212 28189111952 29950931449 49330945916 54104908424 59901862898 98661891832 108209816848 119803725796 197323783664 209656520143 239607451592 419313040286 479214903184 838626080572 1677252161144 3354504322288