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343000000343 = 7411131952579
BaseRepresentation
bin1001111110111000110…
…01001010011101010111
31012210100021000101001102
410333130121022131113
521104431000002333
6421323320220315
733531600620000
oct4773431123527
91183307011042
10343000000343
11122513615a70
125658600a69b
13264635958b0
141285bd161a7
158dc7739ae8
hex4fdc64a757

343000000343 has 80 divisors (see below), whose sum is σ = 494849308800. Its totient is φ = 233723931840.

The previous prime is 343000000313. The next prime is 343000000349.

It is a happy number.

343000000343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343000000343 - 26 = 343000000279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343000000349) 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 79 ways as a sum of consecutive naturals, for example, 6497228 + ... + 6549806.

It is an arithmetic number, because the mean of its divisors is an integer number (6185616360).

Almost surely, 2343000000343 is an apocalyptic number.

343000000343 is a deficient number, since it is larger than the sum of its proper divisors (151849308457).

343000000343 is a wasteful number, since it uses less digits than its factorization.

343000000343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52650 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

It can be divided in two parts, 343000000 and 343, that multiplied together give a 6-th power (117649000000 = 706).

The spelling of 343000000343 in words is "three hundred forty-three billion, three hundred forty-three", and thus it is an aban number.

Divisors: 1 7 11 13 19 49 77 91 133 143 209 247 343 539 637 931 1001 1463 1729 2401 2717 3773 4459 6517 7007 10241 12103 19019 26411 31213 45619 49049 52579 71687 84721 133133 343343 368053 501809 578369 593047 683527 931931 999001 2576371 4048583 4784689 6523517 6993007 7518797 10989011 12987013 18034597 28340081 33492823 48951049 52631579 76923077 90909091 126242179 142857143 198380567 234449761 342657343 368421053 538461539 636363637 1000000001 1388663969 1641148327 2398601401 2578947371 3769230773 4454545459 7000000007 18052631597 26384615411 31181818213 49000000049 343000000343