Search a number
-
+
12340301424 = 2431123371783
BaseRepresentation
bin10110111111000101…
…00000111001110000
31011212000110021010220
423133202200321300
5200233104121144
65400303253040
7614542555113
oct133742407160
934760407126
1012340301424
115262862120
1224848aa180
131218803409
14850cc257a
154c3590919
hex2df8a0e70

12340301424 has 40 divisors (see below), whose sum is σ = 34777214592. Its totient is φ = 3739485120.

The previous prime is 12340301423. The next prime is 12340301447. The reversal of 12340301424 is 42410304321.

12340301424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12340301394 and 12340301403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340301423) 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 7 ways as a sum of consecutive naturals, for example, 11685364 + ... + 11686419.

Almost surely, 212340301424 is an apocalyptic number.

It is an amenable number.

12340301424 is an abundant number, since it is smaller than the sum of its proper divisors (22436913168).

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

12340301424 is a wasteful number, since it uses less digits than its factorization.

12340301424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23371805 (or 23371799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12340301424 its reverse (42410304321), we get a palindrome (54750605745).

The spelling of 12340301424 in words is "twelve billion, three hundred forty million, three hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 23371783 46743566 70115349 93487132 140230698 186974264 257089613 280461396 373948528 514179226 560922792 771268839 1028358452 1121845584 1542537678 2056716904 3085075356 4113433808 6170150712 12340301424