Search a number
-
+
2368808832 = 2731317103271
BaseRepresentation
bin1000110100110001…
…0010011110000000
320010002022221211110
42031030102132000
514322403340312
61031015443320
7112462354125
oct21514223600
96102287743
102368808832
111006149155
12561386540
132b99b7740
1418686074c
15dce6443c
hex8d312780

2368808832 has 256 divisors, whose sum is σ = 7271147520. Its totient is φ = 676823040.

The previous prime is 2368808821. The next prime is 2368808833. The reversal of 2368808832 is 2388088632.

It is a super-2 number, since 2×23688088322 = 11222510565122408448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368808833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8740857 + ... + 8741127.

It is an arithmetic number, because the mean of its divisors is an integer number (28402920).

Almost surely, 22368808832 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 2368808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635573760).

2368808832 is an abundant number, since it is smaller than the sum of its proper divisors (4902338688).

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

2368808832 is a wasteful number, since it uses less digits than its factorization.

2368808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2368808832 is about 48670.4102304470. The cubic root of 2368808832 is about 1333.0404805715.

The spelling of 2368808832 in words is "two billion, three hundred sixty-eight million, eight hundred eight thousand, eight hundred thirty-two".