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34350255205343 = 7113531263759803
BaseRepresentation
bin1111100111101110010101…
…10000100110101111011111
311111121212000100100102200222
413303313022300212233133
514000243310313032333
6201020142301511555
710143503226462440
oct763671260465737
9144555010312628
1034350255205343
11aa43952610580
123a29386b725bb
1316222a494c07c
1486a7bddd12c7
153e87e03e9298
hex1f3dcac26bdf

34350255205343 has 16 divisors (see below), whose sum is σ = 42947613179136. Its totient is φ = 26690607018240.

The previous prime is 34350255205339. The next prime is 34350255205349.

It is a happy number.

34350255205343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34350255205343 - 22 = 34350255205339 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34350255205294 and 34350255205303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34350255205349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631852721 + ... + 631907082.

It is an arithmetic number, because the mean of its divisors is an integer number (2684225823696).

Almost surely, 234350255205343 is an apocalyptic number.

34350255205343 is a deficient number, since it is larger than the sum of its proper divisors (8597357973793).

34350255205343 is a wasteful number, since it uses less digits than its factorization.

34350255205343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263760174.

The product of its (nonzero) digits is 3240000, while the sum is 44.

The spelling of 34350255205343 in words is "thirty-four trillion, three hundred fifty billion, two hundred fifty-five million, two hundred five thousand, three hundred forty-three".

Divisors: 1 7 11 77 353 2471 3883 27181 1263759803 8846318621 13901357833 97309504831 446107210459 3122750473213 4907179315049 34350255205343