Search a number
-
+
343534424435343 = 3315135178406577
BaseRepresentation
bin100111000011100010101011…
…1010101100010101010001111
31200001100120101201000002112000
41032013011113111202222033
5330011432000123412333
63214345311430243343
7132234354200535531
oct11607052725425217
91601316351002460
10343534424435343
119a508149740529
12326433337b6553
131198c20754c4bb
1460b9224d11851
1529ab1bab90713
hex1387157562a8f

343534424435343 has 16 divisors (see below), whose sum is σ = 508940284856160. Its totient is φ = 229022771061888.

The previous prime is 343534424435317. The next prime is 343534424435429.

343534424435343 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 3 + 4 + 4 + 244 + 353 + 43 = 666.

343534424435343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343534424435343 - 25 = 343534424435311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343534424435343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343534424437343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36661671 + ... + 45068247.

It is an arithmetic number, because the mean of its divisors is an integer number (31808767803510).

Almost surely, 2343534424435343 is an apocalyptic number.

343534424435343 is a deficient number, since it is larger than the sum of its proper divisors (165405860420817).

343534424435343 is a wasteful number, since it uses less digits than its factorization.

343534424435343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920103 (or 9920097 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 54.

The spelling of 343534424435343 in words is "three hundred forty-three trillion, five hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-five thousand, three hundred forty-three".

Divisors: 1 3 9 27 1513517 4540551 8406577 13621653 25219731 40864959 75659193 226977579 12723497201309 38170491603927 114511474811781 343534424435343