Search a number
-
+
3047063040 = 29325722699
BaseRepresentation
bin1011010110011110…
…0111111000000000
321212100120211200200
42311213213320000
522220022004130
61222205045200
7135336415500
oct26547477000
97770524620
103047063040
111323a9561a
12710556800
13397381ba8
1420c977a00
1512c78d760
hexb59e7e00

3047063040 has 360 divisors, whose sum is σ = 12280296600. Its totient is φ = 696213504.

The previous prime is 3047063039. The next prime is 3047063053. The reversal of 3047063040 is 403607403.

3047063040 is digitally balanced in base 2 and base 4, because in such bases 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 (360).

It is a junction number, because it is equal to n+sod(n) for n = 3047062995 and 3047063013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127611 + ... + 1130309.

It is an arithmetic number, because the mean of its divisors is an integer number (34111935).

Almost surely, 23047063040 is an apocalyptic number.

3047063040 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 3047063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140148300).

3047063040 is an abundant number, since it is smaller than the sum of its proper divisors (9233233560).

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

3047063040 is a wasteful number, since it uses less digits than its factorization.

3047063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3047063040 is about 55200.2086952577. The cubic root of 3047063040 is about 1449.7523223413.

The spelling of 3047063040 in words is "three billion, forty-seven million, sixty-three thousand, forty".