Search a number
-
+
343344443343 = 31122150343987
BaseRepresentation
bin1001111111100001110…
…11000110111111001111
31012211020021010220000120
410333300323012333033
521111132134141333
6421421423000023
733543252420666
oct4776073067717
91184207126016
10343344443343
1112267aa95100
1256661439013
13264b9a54615
1412891977ddd
158de7ac6db3
hex4ff0ec6fcf

343344443343 has 24 divisors (see below), whose sum is σ = 503228350464. Its totient is φ = 208073133840.

The previous prime is 343344443317. The next prime is 343344443359.

343344443343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343344443343 - 210 = 343344442319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343344443295 and 343344443304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343344444343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7783596 + ... + 7827582.

It is an arithmetic number, because the mean of its divisors is an integer number (20967847936).

Almost surely, 2343344443343 is an apocalyptic number.

343344443343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343344443343 is a deficient number, since it is larger than the sum of its proper divisors (159883907121).

343344443343 is a wasteful number, since it uses less digits than its factorization.

343344443343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65515 (or 65504 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 343344 and 443343, that added together give a palindrome (786687).

The spelling of 343344443343 in words is "three hundred forty-three billion, three hundred forty-four million, four hundred forty-three thousand, three hundred forty-three".

Divisors: 1 3 11 33 121 363 21503 43987 64509 131961 236533 483857 709599 1451571 2601863 5322427 7805589 15967281 945852461 2837557383 10404377071 31213131213 114448147781 343344443343