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34338056989 = 661383313553
BaseRepresentation
bin11111111110101101…
…010010101100011101
310021122002010000211111
4133332231102230131
51030311020310424
623435155422021
72323633445215
oct377655225435
9107562100744
1034338056989
1113620a354a5
1267a38b4911
13331304a922
14193a63b245
15d5e8c9194
hex7feb52b1d

34338056989 has 8 divisors (see below), whose sum is σ = 34401515832. Its totient is φ = 34274634240.

The previous prime is 34338056981. The next prime is 34338057007. The reversal of 34338056989 is 98965083343.

It can be written as a sum of positive squares in 4 ways, for example, as 9355725625 + 24982331364 = 96725^2 + 158058^2 .

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 34338056989 - 23 = 34338056981 is a prime.

It is a super-2 number, since 2×343380569892 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34338056981) 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 7 ways as a sum of consecutive naturals, for example, 2526837 + ... + 2540389.

It is an arithmetic number, because the mean of its divisors is an integer number (4300189479).

Almost surely, 234338056989 is an apocalyptic number.

It is an amenable number.

34338056989 is a deficient number, since it is larger than the sum of its proper divisors (63458843).

34338056989 is a wasteful number, since it uses less digits than its factorization.

34338056989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18047.

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 34338056989 in words is "thirty-four billion, three hundred thirty-eight million, fifty-six thousand, nine hundred eighty-nine".

Divisors: 1 661 3833 13553 2533613 8958533 51948649 34338056989