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343431134343 = 32113469001357
BaseRepresentation
bin1001111111101100001…
…01110011110010000111
31012211110022021020201100
410333312011303302013
521111321332244333
6421434201031143
733545354322303
oct4776605636207
91184408236640
10343431134343
11122714a16360
12566864854b3
13265019b837b
141289d2a2d03
158e004ed213
hex4ff6173c87

343431134343 has 12 divisors (see below), whose sum is σ = 541164211848. Its totient is φ = 208140081360.

The previous prime is 343431134341. The next prime is 343431134353.

343431134343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343431134343 - 21 = 343431134341 is a prime.

It is a super-2 number, since 2×3434311343432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343431134298 and 343431134307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343431134341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1734500580 + ... + 1734500777.

It is an arithmetic number, because the mean of its divisors is an integer number (45097017654).

Almost surely, 2343431134343 is an apocalyptic number.

343431134343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343431134343 is a deficient number, since it is larger than the sum of its proper divisors (197733077505).

343431134343 is a wasteful number, since it uses less digits than its factorization.

343431134343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469001374 (or 3469001371 counting only the distinct ones).

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

It can be divided in two parts, 343431 and 134343, that added together give a palindrome (477774).

The spelling of 343431134343 in words is "three hundred forty-three billion, four hundred thirty-one million, one hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 3469001357 10407004071 31221012213 38159014927 114477044781 343431134343