Search a number
-
+
2947414068 = 22364189277
BaseRepresentation
bin1010111110101101…
…1111100000110100
321121102002011000000
42233223133200310
522014014222233
61204245151300
7133016414634
oct25753374064
97542064000
102947414068
1112828138a5
126a30bb530
1337c8320c1
141dd6386c4
15123b57d13
hexafadf834

2947414068 has 168 divisors, whose sum is σ = 8039976840. Its totient is φ = 944317440.

The previous prime is 2947414061. The next prime is 2947414139. The reversal of 2947414068 is 8604147492.

It can be written as a sum of positive squares in 4 ways, for example, as 158306724 + 2789107344 = 12582^2 + 52812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947414061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10640346 + ... + 10640622.

It is an arithmetic number, because the mean of its divisors is an integer number (47857005).

Almost surely, 22947414068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2947414068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019988420).

2947414068 is an abundant number, since it is smaller than the sum of its proper divisors (5092562772).

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

2947414068 is a wasteful number, since it uses less digits than its factorization.

2947414068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2947414068 is about 54290.0918032011. The cubic root of 2947414068 is about 1433.7729547227.

The spelling of 2947414068 in words is "two billion, nine hundred forty-seven million, four hundred fourteen thousand, sixty-eight".