Search a number
-
+
9329241744 = 243426832
BaseRepresentation
bin10001011000001000…
…01110111010010000
3220002011121120210000
420230010032322100
5123101241213434
64141422010000
7450121150344
oct105404167220
926064546700
109329241744
113a58128449
121984416900
13b58a48bb4
1464703b624
15399064b99
hex22c10ee90

9329241744 has 75 divisors (see below), whose sum is σ = 27011599923. Its totient is φ = 3108588192.

The previous prime is 9329241707. The next prime is 9329241767. The reversal of 9329241744 is 4471429239.

The square root of 9329241744 is 96588.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (435456) is a multiple of the sum of its prime divisors (2688).

It is a self number, because there is not a number n which added to its sum of digits gives 9329241744.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 3475827 + ... + 3478509.

Almost surely, 29329241744 is an apocalyptic number.

9329241744 is the 96588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9329241744

9329241744 is an abundant number, since it is smaller than the sum of its proper divisors (17682358179).

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

9329241744 is an frugal number, since it uses more digits than its factorization.

9329241744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 2688 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The cubic root of 9329241744 is about 2105.1454881830.

The spelling of 9329241744 in words is "nine billion, three hundred twenty-nine million, two hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2683 5366 8049 10732 16098 21464 24147 32196 42928 48294 64392 72441 96588 128784 144882 193176 217323 289764 386352 434646 579528 869292 1159056 1738584 3477168 7198489 14396978 21595467 28793956 43190934 57587912 64786401 86381868 115175824 129572802 172763736 194359203 259145604 345527472 388718406 518291208 583077609 777436812 1036582416 1166155218 1554873624 2332310436 3109747248 4664620872 9329241744