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343214314032333 = 32394309311108093
BaseRepresentation
bin100111000001001101100111…
…1010001010000110011001101
31200000012222010122210202001210
41032002123033101100303031
5324441210403343013313
63213542251301325033
7132202262440155462
oct11602331721206315
91600188118722053
10343214314032333
119a3a4411768857
12325b1297406779
1311967c811cc353
1460a7938d89669
1529a2bd2c089c3
hex13826cf450ccd

343214314032333 has 16 divisors (see below), whose sum is σ = 459544514722560. Its totient is φ = 227846872620864.

The previous prime is 343214314032313. The next prime is 343214314032349. The reversal of 343214314032333 is 333230413412343.

It is not a de Polignac number, because 343214314032333 - 226 = 343214246923469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343214314032291 and 343214314032300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343214314032313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25343635 + ... + 36451727.

It is an arithmetic number, because the mean of its divisors is an integer number (28721532170160).

Almost surely, 2343214314032333 is an apocalyptic number.

It is an amenable number.

343214314032333 is a deficient number, since it is larger than the sum of its proper divisors (116330200690227).

343214314032333 is a wasteful number, since it uses less digits than its factorization.

343214314032333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151428.

The product of its (nonzero) digits is 559872, while the sum is 39.

Adding to 343214314032333 its reverse (333230413412343), we get a palindrome (676444727444676).

The spelling of 343214314032333 in words is "three hundred forty-three trillion, two hundred fourteen billion, three hundred fourteen million, thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 239 717 43093 129279 10299227 11108093 30897681 33324279 2654834227 7964502681 478681051649 1436043154947 114404771344111 343214314032333