Search a number
-
+
9683343936 = 26357297131
BaseRepresentation
bin10010000010010110…
…00001101001000000
3220222211220211200000
421001023001221000
5124312414001221
64240511400000
7461651031300
oct110113015100
926884824600
109683343936
114119aa4692
121a62b23000
13bb420a316
1467c095600
153ba1ade26
hex2412c1a40

9683343936 has 504 divisors, whose sum is σ = 34086308256. Its totient is φ = 2717245440.

The previous prime is 9683343911. The next prime is 9683343937. The reversal of 9683343936 is 6393433869.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9683343937) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73918591 + ... + 73918721.

It is an arithmetic number, because the mean of its divisors is an integer number (67631564).

Almost surely, 29683343936 is an apocalyptic number.

9683343936 is a gapful number since it is divisible by the number (96) 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 9683343936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043154128).

9683343936 is an abundant number, since it is smaller than the sum of its proper divisors (24402964320).

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

9683343936 is a wasteful number, since it uses less digits than its factorization.

9683343936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The square root of 9683343936 is about 98403.9833340094. The cubic root of 9683343936 is about 2131.4498520076.

The spelling of 9683343936 in words is "nine billion, six hundred eighty-three million, three hundred forty-three thousand, nine hundred thirty-six".