Search a number
-
+
3098257344 = 2633713171961
BaseRepresentation
bin1011100010101011…
…1010011111000000
321222220220210002000
42320222322133000
522321123213334
61231234224000
7136530516150
oct27052723700
97886823060
103098257344
11134a981666
12725725000
133a4b67a90
142156a2760
15132002299
hexb8aba7c0

3098257344 has 896 divisors, whose sum is σ = 12699187200. Its totient is φ = 716636160.

The previous prime is 3098257339. The next prime is 3098257399. The reversal of 3098257344 is 4437528903.

3098257344 is a `hidden beast` number, since 30 + 9 + 8 + 2 + 573 + 44 = 666.

3098257344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3098257344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50791074 + ... + 50791134.

It is an arithmetic number, because the mean of its divisors is an integer number (14173200).

Almost surely, 23098257344 is an apocalyptic number.

3098257344 is a gapful number since it is divisible by the number (34) 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 3098257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349593600).

3098257344 is an abundant number, since it is smaller than the sum of its proper divisors (9600929856).

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

3098257344 is a wasteful number, since it uses less digits than its factorization.

3098257344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3098257344 is about 55661.9919154893. The cubic root of 3098257344 is about 1457.8264624359.

The spelling of 3098257344 in words is "three billion, ninety-eight million, two hundred fifty-seven thousand, three hundred forty-four".