Search a number
-
+
380844 = 223271149
BaseRepresentation
bin1011100111110101100
3201100102100
41130332230
544141334
612055100
73144222
oct1347654
9640370
10380844
11240152
12164490
13104469
149cb12
1577c99
hex5cfac

380844 has 36 divisors (see below), whose sum is σ = 982800. Its totient is φ = 124320.

The previous prime is 380843. The next prime is 380867. The reversal of 380844 is 448083.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380844.

It is not an unprimeable number, because it can be changed into a prime (380843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2482 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2380844 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 380844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

380844 is an abundant number, since it is smaller than the sum of its proper divisors (601956).

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

380844 is a wasteful number, since it uses less digits than its factorization.

380844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 380844 is about 617.1255949967. The cubic root of 380844 is about 72.4851495545.

The spelling of 380844 in words is "three hundred eighty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 149 213 284 298 426 447 596 639 852 894 1278 1341 1788 2556 2682 5364 10579 21158 31737 42316 63474 95211 126948 190422 380844