Search a number
-
+
830244660 = 2235747137307
BaseRepresentation
bin110001011111001…
…000011100110100
32010212020210120020
4301133020130310
53200020312120
6214215005140
726400651240
oct6137103464
92125223506
10830244660
11396719113
121b20697b0
1310301233b
147c39d420
154cd4d640
hex317c8734

830244660 has 192 divisors, whose sum is σ = 2742018048. Its totient is φ = 183776256.

The previous prime is 830244619. The next prime is 830244673. The reversal of 830244660 is 66442038.

830244660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2704227 + ... + 2704533.

It is an arithmetic number, because the mean of its divisors is an integer number (14281344).

Almost surely, 2830244660 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 830244660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371009024).

830244660 is an abundant number, since it is smaller than the sum of its proper divisors (1911773388).

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

830244660 is a wasteful number, since it uses less digits than its factorization.

830244660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 830244660 is about 28813.9664052001. The cubic root of 830244660 is about 939.8719683780.

Adding to 830244660 its reverse (66442038), we get a palindrome (896686698).

The spelling of 830244660 in words is "eight hundred thirty million, two hundred forty-four thousand, six hundred sixty".