Search a number
-
+
2306841768 = 23367112467
BaseRepresentation
bin1000100101111111…
…1001110010101000
312221202201201000000
42021133321302220
514211022414033
61020523343000
7111110555130
oct21137716250
95852651000
102306841768
11a84174400
12544681a60
132a9bcc33a
1417c52dac0
15d77c3a13
hex897f9ca8

2306841768 has 336 divisors, whose sum is σ = 8163923040. Its totient is φ = 597896640.

The previous prime is 2306841763. The next prime is 2306841793. The reversal of 2306841768 is 8671486032.

It is not an unprimeable number, because it can be changed into a prime (2306841763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4939471 + ... + 4939937.

It is an arithmetic number, because the mean of its divisors is an integer number (24297390).

Almost surely, 22306841768 is an apocalyptic number.

2306841768 is a gapful number since it is divisible by the number (28) 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 2306841768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081961520).

2306841768 is an abundant number, since it is smaller than the sum of its proper divisors (5857081272).

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

2306841768 is a wasteful number, since it uses less digits than its factorization.

2306841768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 490 counting only the distinct ones).

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

The square root of 2306841768 is about 48029.5926278789. The cubic root of 2306841768 is about 1321.3136921518.

The spelling of 2306841768 in words is "two billion, three hundred six million, eight hundred forty-one thousand, seven hundred sixty-eight".