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34331013343 = 112283727383
BaseRepresentation
bin11111111110010010…
…011011000011011111
310021121120212011202201
4133332102123003133
51030302214411333
623434344432331
72323516540624
oct377622330337
9107546764681
1034331013343
1113617a64500
1267a14786a7
1333117528a3
14193972634b
15d5de8717d
hex7fe49b0df

34331013343 has 6 divisors (see below), whose sum is σ = 37735742072. Its totient is φ = 31210012020.

The previous prime is 34331013289. The next prime is 34331013383.

34331013343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34331013343 - 213 = 34331005151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331013383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141863571 + ... + 141863812.

Almost surely, 234331013343 is an apocalyptic number.

34331013343 is a deficient number, since it is larger than the sum of its proper divisors (3404728729).

34331013343 is a wasteful number, since it uses less digits than its factorization.

34331013343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283727405 (or 283727394 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 343310 and 13343, that added together give a palindrome (356653).

The spelling of 34331013343 in words is "thirty-four billion, three hundred thirty-one million, thirteen thousand, three hundred forty-three".

Divisors: 1 11 121 283727383 3121001213 34331013343