Search a number
-
+
831730320 = 2432519163373
BaseRepresentation
bin110001100100110…
…011001010010000
32010222001021111200
4301210303022100
53200410332240
6214310511200
726416406511
oct6144631220
92128037450
10831730320
11397543333
121b2665500
13103412625
147c668a08
154d043930
hex31933290

831730320 has 240 divisors, whose sum is σ = 2966208960. Its totient is φ = 208272384.

The previous prime is 831730313. The next prime is 831730337. The reversal of 831730320 is 23037138.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229654 + ... + 2230026.

It is an arithmetic number, because the mean of its divisors is an integer number (12359204).

Almost surely, 2831730320 is an apocalyptic number.

831730320 is a gapful number since it is divisible by the number (80) 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 831730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483104480).

831730320 is an abundant number, since it is smaller than the sum of its proper divisors (2134478640).

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

831730320 is a wasteful number, since it uses less digits than its factorization.

831730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 831730320 is about 28839.7350889359. The cubic root of 831730320 is about 940.4322442449.

Adding to 831730320 its reverse (23037138), we get a palindrome (854767458).

The spelling of 831730320 in words is "eight hundred thirty-one million, seven hundred thirty thousand, three hundred twenty".