Search a number
-
+
34030414044 = 22321185935389
BaseRepresentation
bin11111101100010111…
…101110100011011100
310020211122020011001100
4133230113232203130
51024143241222134
623344445513100
72313206514054
oct375427564334
9106748204040
1034030414044
1113483310830
126718872790
1332943a5093
14190b838564
15d428aa999
hex7ec5ee8dc

34030414044 has 36 divisors (see below), whose sum is σ = 93841445880. Its totient is φ = 10312246560.

The previous prime is 34030414031. The next prime is 34030414051. The reversal of 34030414044 is 44041403043.

34030414044 is a `hidden beast` number, since 340 + 304 + 14 + 0 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 34030413999 and 34030414017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42967299 + ... + 42968090.

It is an arithmetic number, because the mean of its divisors is an integer number (2606706830).

Almost surely, 234030414044 is an apocalyptic number.

It is an amenable number.

34030414044 is an abundant number, since it is smaller than the sum of its proper divisors (59811031836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34030414044 is a wasteful number, since it uses less digits than its factorization.

34030414044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85935410 (or 85935405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34030414044 its reverse (44041403043), we get a palindrome (78071817087).

The spelling of 34030414044 in words is "thirty-four billion, thirty million, four hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 85935389 171870778 257806167 343741556 515612334 773418501 945289279 1031224668 1546837002 1890578558 2835867837 3093674004 3781157116 5671735674 8507603511 11343471348 17015207022 34030414044