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343413314343 = 32113468821357
BaseRepresentation
bin1001111111101010000…
…01110101001100100111
31012211102001201220021100
410333311001311030213
521111302302024333
6421432323051143
733545050003041
oct4776501651447
91184361656240
10343413314343
11122705954990
1256680510ab3
13264cb0b92a8
141289ab84a91
158dedb7d213
hex4ff5075327

343413314343 has 12 divisors (see below), whose sum is σ = 541136131848. Its totient is φ = 208129281360.

The previous prime is 343413314333. The next prime is 343413314351.

343413314343 is a `hidden beast` number, since 343 + 4 + 133 + 143 + 43 = 666.

343413314343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343413314343 - 25 = 343413314311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343413314298 and 343413314307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343413314333) 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, 1734410580 + ... + 1734410777.

It is an arithmetic number, because the mean of its divisors is an integer number (45094677654).

Almost surely, 2343413314343 is an apocalyptic number.

343413314343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343413314343 is a deficient number, since it is larger than the sum of its proper divisors (197722817505).

343413314343 is a wasteful number, since it uses less digits than its factorization.

343413314343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468821374 (or 3468821371 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 343413 and 314343, that added together give a palindrome (657756).

The spelling of 343413314343 in words is "three hundred forty-three billion, four hundred thirteen million, three hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 3468821357 10406464071 31219392213 38157034927 114471104781 343413314343