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343364356729 = 172344692
BaseRepresentation
bin1001111111100100001…
…11000100101001111001
31012211021122121121001101
410333302013010221321
521111202233403404
6421423413451401
733543613606342
oct4776207045171
91184248547041
10343364356729
11122690256349
1256668040b61
13264c0c074a4
141289447d0c9
158de970c2a4
hex4ff21c4a79

343364356729 has 9 divisors (see below), whose sum is σ = 364760954317. Its totient is φ = 323157077824.

The previous prime is 343364356723. The next prime is 343364356733. The reversal of 343364356729 is 927653463343.

The square root of 343364356729 is 585973.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52036453225 + 291327903504 = 228115^2 + 539748^2 .

It is not a de Polignac number, because 343364356729 - 29 = 343364356217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 343364356729.

It is not an unprimeable number, because it can be changed into a prime (343364356723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9944307 + ... + 9978775.

Almost surely, 2343364356729 is an apocalyptic number.

343364356729 is the 585973-rd square number.

343364356729 is the 292987-th centered octagonal number.

It is an amenable number.

343364356729 is a deficient number, since it is larger than the sum of its proper divisors (21396597588).

343364356729 is an frugal number, since it uses more digits than its factorization.

343364356729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68972 (or 34486 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 55.

The spelling of 343364356729 in words is "three hundred forty-three billion, three hundred sixty-four million, three hundred fifty-six thousand, seven hundred twenty-nine".

Divisors: 1 17 289 34469 585973 9961541 1188111961 20197903337 343364356729