Search a number
-
+
3048814080 = 2935513229
BaseRepresentation
bin1011010110111001…
…0011011000000000
321212110212210200000
42311232103120000
522220444022310
61222310400000
7135360330534
oct26556233000
97773783600
103048814080
111324a81164
12711060000
13397845c00
1420ccb1bc4
1512c9d74c0
hexb5b93600

3048814080 has 720 divisors, whose sum is σ = 12265933680. Its totient is φ = 724598784.

The previous prime is 3048814063. The next prime is 3048814117. The reversal of 3048814080 is 804188403.

3048814080 is a `hidden beast` number, since 30 + 488 + 140 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105131506 + ... + 105131534.

It is an arithmetic number, because the mean of its divisors is an integer number (17036019).

Almost surely, 23048814080 is an apocalyptic number.

3048814080 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 3048814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132966840).

3048814080 is an abundant number, since it is smaller than the sum of its proper divisors (9217119600).

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

3048814080 is an equidigital number, since it uses as much as digits as its factorization.

3048814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3048814080 is about 55216.0672268498. The cubic root of 3048814080 is about 1450.0299763918.

The spelling of 3048814080 in words is "three billion, forty-eight million, eight hundred fourteen thousand, eighty".