Search a number
-
+
343256242652343 = 3317678971911681
BaseRepresentation
bin100111000001100001001001…
…0011010010000010010110111
31200000100222100201220022212000
41032003002102122100102313
5324442402241104333333
63214013424013230343
7132205305453436236
oct11603022232202267
91600328321808760
10343256242652343
119a41017833a629
12325b94391923b3
131196bc039c6287
1460a9995750b1d
1529a3d38ba3713
hex13830926904b7

343256242652343 has 16 divisors (see below), whose sum is σ = 508530650431200. Its totient is φ = 228836197509120.

The previous prime is 343256242652269. The next prime is 343256242652359.

343256242652343 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 5 + 6 + 242 + 6 + 52 + 343 = 666.

343256242652343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343256242652343 - 224 = 343256225875127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343256242652343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343256242652143) 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, 31182538 + ... + 40729143.

It is an arithmetic number, because the mean of its divisors is an integer number (31783165651950).

Almost surely, 2343256242652343 is an apocalyptic number.

343256242652343 is a deficient number, since it is larger than the sum of its proper divisors (165274407778857).

343256242652343 is a wasteful number, since it uses less digits than its factorization.

343256242652343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72088479 (or 72088473 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 343256242652343 in words is "three hundred forty-three trillion, two hundred fifty-six billion, two hundred forty-two million, six hundred fifty-two thousand, three hundred forty-three".

Divisors: 1 3 9 27 176789 530367 1591101 4773303 71911681 215735043 647205129 1941615387 12713194172309 38139582516927 114418747550781 343256242652343