Search a number
-
+
8043419340 = 2233511319231
BaseRepresentation
bin1110111110110110…
…01101011011001100
3202202120010001001000
413133123031123030
5112433103404330
63410050220300
7403215636105
oct73733153314
922676101030
108043419340
113458334000
121685884690
139b2536138
1456436b3ac
15321225560
hex1df6cd6cc

8043419340 has 576 divisors, whose sum is σ = 29986467840. Its totient is φ = 1787702400.

The previous prime is 8043419339. The next prime is 8043419347. The reversal of 8043419340 is 439143408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8043419295 and 8043419304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8043419347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259465125 + ... + 259465155.

It is an arithmetic number, because the mean of its divisors is an integer number (52059840).

Almost surely, 28043419340 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 8043419340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993233920).

8043419340 is an abundant number, since it is smaller than the sum of its proper divisors (21943048500).

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

8043419340 is a wasteful number, since it uses less digits than its factorization.

8043419340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8043419340 is about 89685.1121424286. The cubic root of 8043419340 is about 2003.6117520308.

The spelling of 8043419340 in words is "eight billion, forty-three million, four hundred nineteen thousand, three hundred forty".