Search a number
-
+
320716928 = 2772631361
BaseRepresentation
bin10011000111011…
…100000010000000
3211100111002220202
4103013130002000
51124100420203
651454024332
710643022530
oct2307340200
9740432822
10320716928
11155044414
128b4a80a8
13515a263c
14308474c0
151d252388
hex131dc080

320716928 has 64 divisors (see below), whose sum is σ = 733518720. Its totient is φ = 136826880.

The previous prime is 320716909. The next prime is 320716933. The reversal of 320716928 is 829617023.

320716928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 320716891 and 320716900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234968 + ... + 236328.

It is an arithmetic number, because the mean of its divisors is an integer number (11461230).

Almost surely, 2320716928 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 320716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366759360).

320716928 is an abundant number, since it is smaller than the sum of its proper divisors (412801792).

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

320716928 is a wasteful number, since it uses less digits than its factorization.

320716928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 320716928 is about 17908.5713556386. The cubic root of 320716928 is about 684.5008016911.

The spelling of 320716928 in words is "three hundred twenty million, seven hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 263 448 526 896 1052 1361 1841 2104 2722 3682 4208 5444 7364 8416 9527 10888 14728 16832 19054 21776 29456 33664 38108 43552 58912 76216 87104 117824 152432 174208 235648 304864 357943 609728 715886 1219456 1431772 2505601 2863544 5011202 5727088 10022404 11454176 20044808 22908352 40089616 45816704 80179232 160358464 320716928