Search a number
-
+
923104 = 25713317
BaseRepresentation
bin11100001010111100000
31201220021001
43201113200
5214014404
631441344
710563160
oct3412740
91656231
10923104
115805a6
12386254
13264220
141a05a0
151337a4
hexe15e0

923104 has 48 divisors (see below), whose sum is σ = 2243808. Its totient is φ = 364032.

The previous prime is 923053. The next prime is 923107. The reversal of 923104 is 401329.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2754 + ... + 3070.

It is an arithmetic number, because the mean of its divisors is an integer number (46746).

2923104 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 923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121904).

923104 is an abundant number, since it is smaller than the sum of its proper divisors (1320704).

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

923104 is a wasteful number, since it uses less digits than its factorization.

923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 923104 is about 960.7830140047. The cubic root of 923104 is about 97.3681408422.

It can be divided in two parts, 9 and 23104, that multiplied together give a square (207936 = 4562).

The spelling of 923104 in words is "nine hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 317 364 416 634 728 1268 1456 2219 2536 2912 4121 4438 5072 8242 8876 10144 16484 17752 28847 32968 35504 57694 65936 71008 115388 131872 230776 461552 923104