Search a number
-
+
2331968 = 2683439
BaseRepresentation
bin1000111001010101000000
311101110212012
420321111000
51044110333
6121552052
725551512
oct10712500
94343765
102331968
111353051
12945628
13638582
14449bb2
15310e48
hex239540

2331968 has 28 divisors (see below), whose sum is σ = 4693920. Its totient is φ = 1149312.

The previous prime is 2331949. The next prime is 2331997. The reversal of 2331968 is 8691332.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5093 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

22331968 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 2331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346960).

2331968 is an abundant number, since it is smaller than the sum of its proper divisors (2361952).

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

2331968 is an equidigital number, since it uses as much as digits as its factorization.

2331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 2331968 is about 1527.0782560170. The cubic root of 2331968 is about 132.6093650278.

The spelling of 2331968 in words is "two million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 332 439 664 878 1328 1756 2656 3512 5312 7024 14048 28096 36437 72874 145748 291496 582992 1165984 2331968