Search a number
-
+
9703434312 = 23331121328559
BaseRepresentation
bin10010000100101111…
…01010100001001000
3221001020201112111000
421002113222201020
5124333034344222
64242510135000
7462313554645
oct110227524110
927036645430
109703434312
11412a376900
121a697b1460
13bb8422910
14680a04dcc
153bbd2b9ac
hex2425ea848

9703434312 has 192 divisors, whose sum is σ = 31907232000. Its totient is φ = 2714152320.

The previous prime is 9703434271. The next prime is 9703434317. The reversal of 9703434312 is 2134343079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9703434317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325489 + ... + 354047.

It is an arithmetic number, because the mean of its divisors is an integer number (166183500).

Almost surely, 29703434312 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 9703434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953616000).

9703434312 is an abundant number, since it is smaller than the sum of its proper divisors (22203797688).

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

9703434312 is a wasteful number, since it uses less digits than its factorization.

9703434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 9703434312 is about 98506.0115525951. The cubic root of 9703434312 is about 2132.9228985366.

The spelling of 9703434312 in words is "nine billion, seven hundred three million, four hundred thirty-four thousand, three hundred twelve".