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34983832321 = 212929575557
BaseRepresentation
bin100000100101001100…
…101110101100000001
310100022002020211001101
4200211030232230001
51033121330113241
624023224534401
72345634445144
oct404514565401
9110262224041
1034983832321
1113922509019
126944021401
1333b6a829c9
14199c2dc05b
15d9b439e31
hex82532eb01

34983832321 has 8 divisors (see below), whose sum is σ = 35018401320. Its totient is φ = 34949284608.

The previous prime is 34983832319. The next prime is 34983832399. The reversal of 34983832321 is 12323838943.

It can be written as a sum of positive squares in 4 ways, for example, as 4467585600 + 30516246721 = 66840^2 + 174689^2 .

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 34983832321 - 21 = 34983832319 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34983832021) 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, 6292675 + ... + 6298231.

It is an arithmetic number, because the mean of its divisors is an integer number (4377300165).

Almost surely, 234983832321 is an apocalyptic number.

It is an amenable number.

34983832321 is a deficient number, since it is larger than the sum of its proper divisors (34568999).

34983832321 is a wasteful number, since it uses less digits than its factorization.

34983832321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10643.

The product of its digits is 746496, while the sum is 46.

The spelling of 34983832321 in words is "thirty-four billion, nine hundred eighty-three million, eight hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 2129 2957 5557 6295453 11830853 16432049 34983832321