Search a number
-
+
34444507893 = 383244756531
BaseRepresentation
bin100000000101000011…
…010111101011110101
310021220111102022000120
4200011003113223311
51031020243223033
623453521202153
72326365325545
oct400503275365
9107814368016
1034444507893
1113676032654
126813490359
13332c10c723
14194a82b325
15d68e051b3
hex8050d7af5

34444507893 has 16 divisors (see below), whose sum is σ = 46499152896. Its totient is φ = 22676670320.

The previous prime is 34444507883. The next prime is 34444507901. The reversal of 34444507893 is 39870544443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34444507893 - 229 = 33907636981 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444507813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581038 + ... + 637568.

It is an arithmetic number, because the mean of its divisors is an integer number (2906197056).

Almost surely, 234444507893 is an apocalyptic number.

It is an amenable number.

34444507893 is a deficient number, since it is larger than the sum of its proper divisors (12054645003).

34444507893 is a wasteful number, since it uses less digits than its factorization.

34444507893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59064.

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 34444507893 in words is "thirty-four billion, four hundred forty-four million, five hundred seven thousand, eight hundred ninety-three".

Divisors: 1 3 83 249 2447 7341 56531 169593 203101 609303 4692073 14076219 138331357 414994071 11481502631 34444507893