Search a number
-
+
34333243431 = 3241308915373
BaseRepresentation
bin11111111110011010…
…111011100000100111
310021121202001110212120
4133332122323200213
51030303302242211
623434504321023
72323544516424
oct377632734047
9107552043776
1034333243431
1113619247a53
1267a2173173
133312053976
141939b46d4b
15d5e277d06
hex7fe6bb827

34333243431 has 16 divisors (see below), whose sum is σ = 45985478880. Its totient is φ = 22784993280.

The previous prime is 34333243393. The next prime is 34333243457. The reversal of 34333243431 is 13434233343.

It is not a de Polignac number, because 34333243431 - 27 = 34333243303 is a prime.

It is a super-2 number, since 2×343332434312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34333243392 and 34333243401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34333243471) 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 15 ways as a sum of consecutive naturals, for example, 2225661 + ... + 2241033.

It is an arithmetic number, because the mean of its divisors is an integer number (2874092430).

Almost surely, 234333243431 is an apocalyptic number.

34333243431 is a deficient number, since it is larger than the sum of its proper divisors (11652235449).

34333243431 is a wasteful number, since it uses less digits than its factorization.

34333243431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18706.

The product of its digits is 93312, while the sum is 33.

Adding to 34333243431 its reverse (13434233343), we get a palindrome (47767476774).

The spelling of 34333243431 in words is "thirty-four billion, three hundred thirty-three million, two hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 241 723 3089 9267 15373 46119 744449 2233347 3704893 11114679 47487197 142461591 11444414477 34333243431