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34375257343 = 76991702439
BaseRepresentation
bin100000000000111011…
…001100110011111111
310021201200010000010101
4200000323030303333
51030400031213333
623443005021531
72324564603110
oct400073146377
9107650100111
1034375257343
111363aa33699
1267b42548a7
13331a97407b
141941562207
15d62cc667d
hex800ecccff

34375257343 has 8 divisors (see below), whose sum is σ = 39291683840. Its totient is φ = 29460249720.

The previous prime is 34375257331. The next prime is 34375257403.

34375257343 is nontrivially palindromic in base 10.

34375257343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34375257343 - 221 = 34373160191 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34375257293 and 34375257302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375257743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302283 + ... + 400156.

It is an arithmetic number, because the mean of its divisors is an integer number (4911460480).

Almost surely, 234375257343 is an apocalyptic number.

34375257343 is a deficient number, since it is larger than the sum of its proper divisors (4916426497).

34375257343 is an equidigital number, since it uses as much as digits as its factorization.

34375257343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709437.

The product of its digits is 3175200, while the sum is 46.

The spelling of 34375257343 in words is "thirty-four billion, three hundred seventy-five million, two hundred fifty-seven thousand, three hundred forty-three".

Divisors: 1 7 6991 48937 702439 4917073 4910751049 34375257343