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343355553343 = 112961139126943
BaseRepresentation
bin1001111111100011001…
…01011111011000111111
31012211021001001100002001
410333301211133120333
521111143010201333
6421422501043131
733543446022445
oct4776145373077
91184231040061
10343355553343
11122686293220
12566650b64a7
13264bc14449a
141289322ab95
158de8a6db7d
hex4ff195f63f

343355553343 has 32 divisors (see below), whose sum is σ = 396674611200. Its totient is φ = 294302332800.

The previous prime is 343355553341. The next prime is 343355553353.

343355553343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 343355553343 - 21 = 343355553341 is a prime.

It is a super-2 number, since 2×3433555533432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343355553293 and 343355553302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343355553341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641330 + ... + 2768272.

It is an arithmetic number, because the mean of its divisors is an integer number (12396081600).

Almost surely, 2343355553343 is an apocalyptic number.

343355553343 is a deficient number, since it is larger than the sum of its proper divisors (53319057857).

343355553343 is a wasteful number, since it uses less digits than its factorization.

343355553343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127183.

The product of its digits is 7290000, while the sum is 46.

It can be divided in two parts, 343355 and 553343, that added together give a palindrome (896698).

The spelling of 343355553343 in words is "three hundred forty-three billion, three hundred fifty-five million, five hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 11 29 61 139 319 671 1529 1769 4031 8479 19459 44341 93269 126943 245891 1396373 2704801 3681347 7743523 17645077 40494817 85178753 194095847 224562167 511707233 1076349697 2470183837 5628779563 11839846667 31214141213 343355553343