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34286268243 = 3314720393847
BaseRepresentation
bin11111111011100111…
…101110111101010011
310021111110122220000210
4133323213232331103
51030204241040433
623430105415203
72322434320503
oct377347567523
9107443586023
1034286268243
11135a4782887
12678a49a503
1333053b72b6
1419337d9a03
15d5a099463
hex7fb9eef53

34286268243 has 32 divisors (see below), whose sum is σ = 48229908480. Its totient is φ = 21633288480.

The previous prime is 34286268197. The next prime is 34286268281.

It is a happy number.

34286268243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34286268243 - 218 = 34286006099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34286268192 and 34286268201.

It is not an unprimeable number, because it can be changed into a prime (34286268043) 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, 8910546 + ... + 8914392.

It is an arithmetic number, because the mean of its divisors is an integer number (1507184640).

Almost surely, 234286268243 is an apocalyptic number.

34286268243 is a deficient number, since it is larger than the sum of its proper divisors (13943640237).

34286268243 is a wasteful number, since it uses less digits than its factorization.

34286268243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967.

The product of its digits is 2654208, while the sum is 48.

The spelling of 34286268243 in words is "thirty-four billion, two hundred eighty-six million, two hundred sixty-eight thousand, two hundred forty-three".

Divisors: 1 3 31 47 93 141 1457 2039 3847 4371 6117 11541 63209 95833 119257 180809 189627 287499 357771 542427 2970823 5605079 7844033 8912469 16815237 23532099 243165023 368669551 729495069 1106008653 11428756081 34286268243