Search a number
-
+
2394067968 = 21033131661
BaseRepresentation
bin1000111010110010…
…1001010000000000
320011211212020212000
42032230221100000
514400340133333
61033321104000
7113220145665
oct21654512000
96154766760
102394067968
111019430776
12569928000
132c1cbc886
14189d57a6c
15e02a3713
hex8eb29400

2394067968 has 176 divisors, whose sum is σ = 7155001920. Its totient is φ = 790732800.

The previous prime is 2394067937. The next prime is 2394067979. The reversal of 2394067968 is 8697604932.

It is a happy number.

It is a super-2 number, since 2×23940679682 = 11463122870807298048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621558 + ... + 3622218.

It is an arithmetic number, because the mean of its divisors is an integer number (40653420).

Almost surely, 22394067968 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 2394067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577500960).

2394067968 is an abundant number, since it is smaller than the sum of its proper divisors (4760933952).

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

2394067968 is a wasteful number, since it uses less digits than its factorization.

2394067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2394067968 is about 48929.2138502143. The cubic root of 2394067968 is about 1337.7619074025.

The spelling of 2394067968 in words is "two billion, three hundred ninety-four million, sixty-seven thousand, nine hundred sixty-eight".