Search a number
-
+
3001705056 = 253276771313
BaseRepresentation
bin1011001011101010…
…0110001001100000
321202012020102020100
42302322212021200
522121414030211
61213504542400
7134246033460
oct26272461140
97665212210
103001705056
111300425489
126b9321a00
1338ab6064c
1420692bba0
151287ce156
hexb2ea6260

3001705056 has 288 divisors, whose sum is σ = 10072677888. Its totient is φ = 830269440.

The previous prime is 3001705051. The next prime is 3001705129. The reversal of 3001705056 is 6505071003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001705051) 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, 9589956 + ... + 9590268.

It is an arithmetic number, because the mean of its divisors is an integer number (34974576).

Almost surely, 23001705056 is an apocalyptic number.

3001705056 is a gapful number since it is divisible by the number (36) 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 3001705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036338944).

3001705056 is an abundant number, since it is smaller than the sum of its proper divisors (7070972832).

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

3001705056 is a wasteful number, since it uses less digits than its factorization.

3001705056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 3001705056 is about 54787.8185001009. The cubic root of 3001705056 is about 1442.5227537018.

Adding to 3001705056 its reverse (6505071003), we get a palindrome (9506776059).

The spelling of 3001705056 in words is "three billion, one million, seven hundred five thousand, fifty-six".