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379302 = 23711821
BaseRepresentation
bin1011100100110100110
3201021022020
41130212212
544114202
612044010
73136560
oct1344646
9637266
10379302
11239a80
12163606
13103851
149c330
15775bc
hex5c9a6

379302 has 32 divisors (see below), whose sum is σ = 946944. Its totient is φ = 98400.

The previous prime is 379289. The next prime is 379307. The reversal of 379302 is 203973.

It is a d-powerful number, because it can be written as 311 + 75 + 311 + 9 + 0 + 213 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (29592).

2379302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473472).

379302 is an abundant number, since it is smaller than the sum of its proper divisors (567642).

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

379302 is a wasteful number, since it uses less digits than its factorization.

379302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 379302 is about 615.8749873148. The cubic root of 379302 is about 72.3871888039.

It can be divided in two parts, 37 and 9302, that added together give a palindrome (9339).

The spelling of 379302 in words is "three hundred seventy-nine thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 821 1642 2463 4926 5747 9031 11494 17241 18062 27093 34482 54186 63217 126434 189651 379302