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384296 = 23112397
BaseRepresentation
bin1011101110100101000
3201112011012
41131310220
544244141
612123052
73160253
oct1356450
9645135
10384296
11242800
12166488
13105bc3
14a009a
1578ceb
hex5dd28

384296 has 24 divisors (see below), whose sum is σ = 794010. Its totient is φ = 174240.

The previous prime is 384289. The next prime is 384299. The reversal of 384296 is 692483.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 81796 = 550^2 + 286^2 .

It is not an unprimeable number, because it can be changed into a prime (384299) by changing a digit.

384296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 770 + ... + 1166.

2384296 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 384296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397005).

384296 is an abundant number, since it is smaller than the sum of its proper divisors (409714).

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

384296 is a wasteful number, since it uses less digits than its factorization.

384296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 384296 is about 619.9161233586. The cubic root of 384296 is about 72.7034948783.

It can be divided in two parts, 38 and 4296, that added together give a palindrome (4334).

The spelling of 384296 in words is "three hundred eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 397 484 794 968 1588 3176 4367 8734 17468 34936 48037 96074 192148 384296