Search a number
-
+
344240220324 = 2237111328658027
BaseRepresentation
bin1010000001001100101…
…00001110100010100100
31012220112200201002000210
411000212110032202210
521120000444022244
6422050342335420
733604410410460
oct5004624164244
91186480632023
10344240220324
11122a9a6a2660
125687142a570
13266004cca80
14129389154a0
158e4b56c4b9
hex502650e8a4

344240220324 has 96 divisors (see below), whose sum is σ = 1078458909696. Its totient is φ = 82535114880.

The previous prime is 344240220319. The next prime is 344240220349. The reversal of 344240220324 is 423022042443.

It is a junction number, because it is equal to n+sod(n) for n = 344240220291 and 344240220300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14317002 + ... + 14341025.

It is an arithmetic number, because the mean of its divisors is an integer number (11233946976).

Almost surely, 2344240220324 is an apocalyptic number.

It is an amenable number.

344240220324 is an abundant number, since it is smaller than the sum of its proper divisors (734218689372).

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

344240220324 is a wasteful number, since it uses less digits than its factorization.

344240220324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658065 (or 28658063 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 344240220324 its reverse (423022042443), we get a palindrome (767262262767).

The spelling of 344240220324 in words is "three hundred forty-four billion, two hundred forty million, two hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 28658027 57316054 85974081 114632108 171948162 200606189 315238297 343896324 372554351 401212378 601818567 630476594 745108702 802424756 945714891 1117663053 1203637134 1260953188 1490217404 1891429782 2206668079 2235326106 2407274268 2607880457 3782859564 4098097861 4413336158 4470652212 5215760914 6620004237 7823641371 8196195722 8826672316 10431521828 12294293583 13240008474 15647282742 16392391444 24588587166 26480016948 28686685027 31294565484 49177174332 57373370054 86060055081 114746740108 172120110162 344240220324