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379288 = 23713521
BaseRepresentation
bin1011100100110011000
3201021021201
41130212120
544114123
612043544
73136540
oct1344630
9637251
10379288
11239a68
121635b4
13103840
149c320
15775ad
hex5c998

379288 has 32 divisors (see below), whose sum is σ = 876960. Its totient is φ = 149760.

The previous prime is 379283. The next prime is 379289. The reversal of 379288 is 882973.

379288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379283) 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, 468 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

379288 is a Friedman number, since it can be written as 728*(9+8^3), using all its digits and the basic arithmetic operations.

2379288 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 379288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438480).

379288 is an abundant number, since it is smaller than the sum of its proper divisors (497672).

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

379288 is a wasteful number, since it uses less digits than its factorization.

379288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 379288 is about 615.8636212669. The cubic root of 379288 is about 72.3862981915.

The spelling of 379288 in words is "three hundred seventy-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 521 728 1042 2084 3647 4168 6773 7294 13546 14588 27092 29176 47411 54184 94822 189644 379288