Search a number
-
+
12343333440 = 2635139233397
BaseRepresentation
bin10110111111011100…
…00101001001000000
31011212020011022021210
423133232011021000
5200234343132230
65400452250120
7614610413604
oct133756051100
934766138253
1012343333440
115264543119
122485910940
1312193254c9
14851471504
154c398deb0
hex2dfb85240

12343333440 has 224 divisors, whose sum is σ = 39741287040. Its totient is φ = 3245654016.

The previous prime is 12343333411. The next prime is 12343333447. The reversal of 12343333440 is 4433334321.

It is a super-2 number, since 2×123433334402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12343333398 and 12343333407.

It is not an unprimeable number, because it can be changed into a prime (12343333447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31091322 + ... + 31091718.

It is an arithmetic number, because the mean of its divisors is an integer number (177416460).

Almost surely, 212343333440 is an apocalyptic number.

12343333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870643520).

12343333440 is an abundant number, since it is smaller than the sum of its proper divisors (27397953600).

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

12343333440 is a wasteful number, since it uses less digits than its factorization.

12343333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 12343333440 its reverse (4433334321), we get a palindrome (16776667761).

The spelling of 12343333440 in words is "twelve billion, three hundred forty-three million, three hundred thirty-three thousand, four hundred forty".