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296320 = 275463
BaseRepresentation
bin1001000010110000000
3120001110211
41020112000
533440240
610203504
72342623
oct1102600
9501424
10296320
111926a2
12123594
13a4b4b
1479dba
155cbea
hex48580

296320 has 32 divisors (see below), whose sum is σ = 709920. Its totient is φ = 118272.

The previous prime is 296299. The next prime is 296347. The reversal of 296320 is 23692.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 296291 and 296300.

It is a congruent number.

It is an unprimeable number.

296320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (22185).

296320 is a Friedman number, since it can be written as 926*320, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 320926 (with its own digits).

2296320 is an apocalyptic number.

296320 is a gapful number since it is divisible by the number (20) 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 296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354960).

296320 is an abundant number, since it is smaller than the sum of its proper divisors (413600).

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

296320 is an equidigital number, since it uses as much as digits as its factorization.

296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 296320 is about 544.3528267585. The cubic root of 296320 is about 66.6684443970.

It can be divided in two parts, 296 and 320, that added together give a palindrome (616).

The spelling of 296320 in words is "two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 463 640 926 1852 2315 3704 4630 7408 9260 14816 18520 29632 37040 59264 74080 148160 296320