Search a number
-
+
308175840 = 2534574379
BaseRepresentation
bin10010010111100…
…110001111100000
3210110212221210000
4102113212033200
51112343111330
650325140000
710431310560
oct2227461740
9713787700
10308175840
11148a59085
128725a600
134bb0128b
142cd00da0
151c0c6560
hex125e63e0

308175840 has 480 divisors, whose sum is σ = 1287982080. Its totient is φ = 67931136.

The previous prime is 308175823. The next prime is 308175841. The reversal of 308175840 is 48571803.

308175840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 308175795 and 308175804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308175841) 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, 3900921 + ... + 3900999.

It is an arithmetic number, because the mean of its divisors is an integer number (2683296).

Almost surely, 2308175840 is an apocalyptic number.

308175840 is a gapful number since it is divisible by the number (30) 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 308175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643991040).

308175840 is an abundant number, since it is smaller than the sum of its proper divisors (979806240).

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

308175840 is a wasteful number, since it uses less digits than its factorization.

308175840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 308175840 is about 17554.9377669076. The cubic root of 308175840 is about 675.4598348206.

The spelling of 308175840 in words is "three hundred eight million, one hundred seventy-five thousand, eight hundred forty".