Search a number
-
+
104340043200 = 263521711091153
BaseRepresentation
bin110000100101100100…
…1101011010111000000
3100222022122012101021110
41201023021223113000
53202142022340300
6115533321123320
710352433506451
oct1411311532700
9328278171243
10104340043200
1140283263868
121827b329540
139abaa0c343
14509b60d128
152aaa27d550
hex184b26b5c0

104340043200 has 336 divisors, whose sum is σ = 363100376160. Its totient is φ = 26140999680.

The previous prime is 104340043169. The next prime is 104340043207. The reversal of 104340043200 is 2340043401.

It is a super-2 number, since 2×1043400432002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104340043207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90493824 + ... + 90494976.

Almost surely, 2104340043200 is an apocalyptic number.

104340043200 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 104340043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181550188080).

104340043200 is an abundant number, since it is smaller than the sum of its proper divisors (258760332960).

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

104340043200 is a wasteful number, since it uses less digits than its factorization.

104340043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 104340043200 its reverse (2340043401), we get a palindrome (106680086601).

The spelling of 104340043200 in words is "one hundred four billion, three hundred forty million, forty-three thousand, two hundred".