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343013000310343 = 1125948047765837
BaseRepresentation
bin100110111111101111111000…
…0000010010110111001000111
31122222111201111202112001210101
41031333133300002112321013
5324424411111034412333
63213305555201504531
7132151604624600266
oct11577376002267107
91588451452461711
10343013000310343
119a326aa6387900
123257a273942147
1311951caa97c4ac
14609bcbc6145dd
15299c84e28367d
hex137f7f0096e47

343013000310343 has 12 divisors (see below), whose sum is σ = 383421171387240. Its totient is φ = 306544746033680.

The previous prime is 343013000310283. The next prime is 343013000310359.

343013000310343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343013000310343 - 213 = 343013000302151 is a prime.

It is a super-3 number, since 3×3430130003103433 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343013000370343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24023875780 + ... + 24023890057.

It is an arithmetic number, because the mean of its divisors is an integer number (31951764282270).

Almost surely, 2343013000310343 is an apocalyptic number.

343013000310343 is a deficient number, since it is larger than the sum of its proper divisors (40408171076897).

343013000310343 is a wasteful number, since it uses less digits than its factorization.

343013000310343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48047765918 (or 48047765907 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 343013000 and 310343, that added together give a palindrome (343323343).

The spelling of 343013000310343 in words is "three hundred forty-three trillion, thirteen billion, three hundred ten thousand, three hundred forty-three".

Divisors: 1 11 59 121 649 7139 48047765837 528525424207 2834818184383 5813779666277 31183000028213 343013000310343