Search a number
-
+
34643200131 = 3243317282389
BaseRepresentation
bin100000010000111001…
…010100100010000011
310022102100021220112100
4200100321110202003
51031422124401011
623525340001443
72334330225321
oct402071244203
9108370256470
1034643200131
1113768202011
126869b30283
1333613296b7
141968d8cd11
15d7b5a1d56
hex810e54883

34643200131 has 24 divisors (see below), whose sum is σ = 51365611440. Its totient is φ = 22487121216.

The previous prime is 34643200037. The next prime is 34643200157. The reversal of 34643200131 is 13100234643.

34643200131 is a `hidden beast` number, since 3 + 4 + 643 + 2 + 0 + 0 + 13 + 1 = 666.

It is not a de Polignac number, because 34643200131 - 219 = 34642675843 is a prime.

It is a super-2 number, since 2×346432001312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34643200095 and 34643200104.

It is not an unprimeable number, because it can be changed into a prime (34643200181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18516 + ... + 263873.

It is an arithmetic number, because the mean of its divisors is an integer number (2140233810).

Almost surely, 234643200131 is an apocalyptic number.

34643200131 is a deficient number, since it is larger than the sum of its proper divisors (16722411309).

34643200131 is a wasteful number, since it uses less digits than its factorization.

34643200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282755 (or 282752 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34643200131 its reverse (13100234643), we get a palindrome (47743434774).

The spelling of 34643200131 in words is "thirty-four billion, six hundred forty-three million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 43 129 317 387 951 2853 13631 40893 122679 282389 847167 2541501 12142727 36428181 89517313 109284543 268551939 805655817 3849244459 11547733377 34643200131