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34433410437 = 323825934493
BaseRepresentation
bin100000000100011001…
…000010010110000101
310021212201112111011200
4200010121002112011
51031004423113222
623452443253113
72326202105466
oct400431022605
9107781474150
1034433410437
111366a8429a8
12680b81a199
133329a2549a
14194917cd6d
15d67e61eac
hex804642585

34433410437 has 6 divisors (see below), whose sum is σ = 49737148422. Its totient is φ = 22955606952.

The previous prime is 34433410411. The next prime is 34433410463. The reversal of 34433410437 is 73401433443.

It is an interprime number because it is at equal distance from previous prime (34433410411) and next prime (34433410463).

It can be written as a sum of positive squares in only one way, i.e., 23397067521 + 11036342916 = 152961^2 + 105054^2 .

It is not a de Polignac number, because 34433410437 - 214 = 34433394053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34433410477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1912967238 + ... + 1912967255.

It is an arithmetic number, because the mean of its divisors is an integer number (8289524737).

Almost surely, 234433410437 is an apocalyptic number.

It is an amenable number.

34433410437 is a deficient number, since it is larger than the sum of its proper divisors (15303737985).

34433410437 is a wasteful number, since it uses less digits than its factorization.

34433410437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825934499 (or 3825934496 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 34433410437 in words is "thirty-four billion, four hundred thirty-three million, four hundred ten thousand, four hundred thirty-seven".

Divisors: 1 3 9 3825934493 11477803479 34433410437