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343332002010030 = 2351129214316740953
BaseRepresentation
bin100111000010000100011011…
…0000001010001001110101110
31200000122012220112111110012120
41032010020312001101032232
5330000122420003310110
63214112313323213410
7132213630033365205
oct11604106601211656
91600565815443176
10343332002010030
119a43a314540340
1232610060977266
13119760b83c2387
1460ad50121423c
1529a5cbec15870
hex13842360513ae

343332002010030 has 128 divisors (see below), whose sum is σ = 930336331345920. Its totient is φ = 80324426972160.

The previous prime is 343332002009863. The next prime is 343332002010139. The reversal of 343332002010030 is 30010200233343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12138034 + ... + 28878986.

It is an arithmetic number, because the mean of its divisors is an integer number (7268252588640).

Almost surely, 2343332002010030 is an apocalyptic number.

343332002010030 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 343332002010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465168165672960).

343332002010030 is an abundant number, since it is smaller than the sum of its proper divisors (587004329335890).

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

343332002010030 is a wasteful number, since it uses less digits than its factorization.

343332002010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16743146.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 343332002010030 its reverse (30010200233343), we get a palindrome (373342202243373).

The spelling of 343332002010030 in words is "three hundred forty-three trillion, three hundred thirty-two billion, two million, ten thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 2143 3190 4286 4785 6429 9570 10715 12858 21430 23573 32145 47146 62147 64290 70719 117865 124294 141438 186441 235730 310735 353595 372882 621470 683617 707190 932205 1367234 1864410 2050851 3418085 4101702 6836170 10254255 16740953 20508510 33481906 50222859 83704765 100445718 167409530 184150483 251114295 368300966 485487637 502228590 552451449 920752415 970975274 1104902898 1456462911 1841504830 2427438185 2762257245 2912925822 4854876370 5340364007 5524514490 7282314555 10680728014 14564629110 16021092021 26701820035 32042184042 35875862279 53403640070 71751724558 80105460105 107627586837 160210920210 179379311395 215255173674 358758622790 394634485069 538137934185 789268970138 1040400006091 1076275868370 1183903455207 1973172425345 2080800012182 2367806910414 3121200018273 3946344850690 5202000030455 5919517276035 6242400036546 10404000060910 11444400067001 11839034552070 15606000091365 22888800134002 31212000182730 34333200201003 57222000335005 68666400402006 114444000670010 171666001005015 343332002010030