Search a number
-
+
3334232324332 = 22713173583150383
BaseRepresentation
bin110000100001001111101…
…110111011100011101100
3102210202020101100120002101
4300201033232323203230
5414112001433334312
611031420350104444
7462614246065330
oct60411756734354
912722211316071
103334232324332
111076049250a08
1245a2437ab124
131b2555809510
14b75405d17c0
155bae7393a57
hex3084fbbb8ec

3334232324332 has 96 divisors (see below), whose sum is σ = 7606032924672. Its totient is φ = 1241091818496.

The previous prime is 3334232324329. The next prime is 3334232324369. The reversal of 3334232324332 is 2334232324333.

It is a super-2 number, since 2×33342323243322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334232324291 and 3334232324300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22096413 + ... + 22246795.

It is an arithmetic number, because the mean of its divisors is an integer number (79229509632).

Almost surely, 23334232324332 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 3334232324332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803016462336).

3334232324332 is an abundant number, since it is smaller than the sum of its proper divisors (4271800600340).

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

3334232324332 is a wasteful number, since it uses less digits than its factorization.

3334232324332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154007 (or 154005 counting only the distinct ones).

The product of its digits is 559872, while the sum is 37.

Adding to 3334232324332 its reverse (2334232324333), we get a palindrome (5668464648665).

Subtracting from 3334232324332 its reverse (2334232324333), we obtain a palindrome (999999999999).

The spelling of 3334232324332 in words is "three trillion, three hundred thirty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 3094 3583 6188 7166 14332 25081 46579 50162 60911 93158 100324 121822 150383 186316 243644 300766 326053 426377 601532 652106 791843 852754 1052681 1304212 1583686 1705508 1954979 2105362 2556511 3167372 3909958 4210724 5113022 5542901 7819916 10226044 11085802 13684853 17895577 22171604 27369706 33234643 35791154 54739412 66469286 71582308 132938572 232642501 465285002 538822289 930570004 1077644578 2155289156 3771756023 7004689757 7543512046 9159978913 14009379514 15087024092 18319957826 28018759028 36639915652 49032828299 64119852391 98065656598 119079725869 128239704782 196131313196 238159451738 256479409564 476318903476 833558081083 1667116162166 3334232324332