Search a number
-
+
12340303344 = 2434233767167
BaseRepresentation
bin10110111111000101…
…00001010111110000
31011212000110100210000
423133202201113300
5200233104201334
65400303310000
7614542563525
oct133742412760
934760410700
1012340303344
115262863606
1224848ab300
131218804255
14850cc314c
154c3591299
hex2df8a15f0

12340303344 has 400 divisors, whose sum is σ = 39080498688. Its totient is φ = 3748529664.

The previous prime is 12340303343. The next prime is 12340303351. The reversal of 12340303344 is 44330304321.

12340303344 is a `hidden beast` number, since 12 + 3 + 4 + 0 + 303 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340303343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73893949 + ... + 73894115.

Almost surely, 212340303344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340303344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19540249344).

12340303344 is an abundant number, since it is smaller than the sum of its proper divisors (26740195344).

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

12340303344 is a wasteful number, since it uses less digits than its factorization.

12340303344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12340303344 its reverse (44330304321), we get a palindrome (56670607665).

The spelling of 12340303344 in words is "twelve billion, three hundred forty million, three hundred three thousand, three hundred forty-four".