Search a number
-
+
343434321240432 = 24317768015480077
BaseRepresentation
bin100111000010110100000100…
…0101110001010000101110000
31200001000000000100011220110120
41032011220020232022011300
5330003311442214143212
63214231314335330240
7132224211431450322
oct11605501056120560
91601000010156416
10343434321240432
119a479750031584
1232627a57380980
131198294354aca6
1460b444a2ab612
1529a87ac86e88c
hex1385a08b8a170

343434321240432 has 80 divisors (see below), whose sum is σ = 939406281640992. Its totient is φ = 107742678220800.

The previous prime is 343434321240383. The next prime is 343434321240463. The reversal of 343434321240432 is 234042123434343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59929578 + ... + 65409654.

Almost surely, 2343434321240432 is an apocalyptic number.

It is an amenable number.

343434321240432 is an abundant number, since it is smaller than the sum of its proper divisors (595971960400560).

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

343434321240432 is a wasteful number, since it uses less digits than its factorization.

343434321240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556906 (or 5556900 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 343434321240432 its reverse (234042123434343), we get a palindrome (577476444674775).

The spelling of 343434321240432 in words is "three hundred forty-three trillion, four hundred thirty-four billion, three hundred twenty-one million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 76801 153602 230403 307204 460806 614408 921612 1228816 1305617 1843224 2611234 3686448 3916851 5222468 5480077 7833702 10444936 10960154 15667404 16440231 20889872 21920308 31334808 32880462 43840616 62669616 65760924 87681232 93161309 131521848 186322618 263043696 279483927 372645236 558967854 745290472 1117935708 1490580944 2235871416 4471742832 420875393677 841750787354 1262626181031 1683501574708 2525252362062 3367003149416 5050504724124 6734006298832 7154881692509 10101009448248 14309763385018 20202018896496 21464645077527 28619526770036 42929290155054 57239053540072 85858580310108 114478107080144 171717160620216 343434321240432