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34441000341 = 3113133666667
BaseRepresentation
bin100000000100110101…
…111111010110010101
310021220020211002120020
4200010311333112111
51031013344002331
623453314055353
72326323446466
oct400465772625
9107806732506
1034441000341
1113674057350
12681227a559
13332b482057
14194a196d6d
15d68960c96
hex804d7f595

34441000341 has 16 divisors (see below), whose sum is σ = 51712002048. Its totient is φ = 20199999600.

The previous prime is 34441000283. The next prime is 34441000367. The reversal of 34441000341 is 14300014443.

34441000341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34441000341 - 221 = 34438903189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16832311 + ... + 16834356.

It is an arithmetic number, because the mean of its divisors is an integer number (3232000128).

Almost surely, 234441000341 is an apocalyptic number.

34441000341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34441000341 is a deficient number, since it is larger than the sum of its proper divisors (17271001707).

34441000341 is a wasteful number, since it uses less digits than its factorization.

34441000341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666712.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34441000341 its reverse (14300014443), we get a palindrome (48741014784).

The spelling of 34441000341 in words is "thirty-four billion, four hundred forty-one million, three hundred forty-one", and thus it is an aban number.

Divisors: 1 3 11 31 33 93 341 1023 33666667 101000001 370333337 1043666677 1111000011 3131000031 11480333447 34441000341