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395360 = 2557353
BaseRepresentation
bin1100000100001100000
3202002022222
41200201200
5100122420
612250212
73234440
oct1404140
9662288
10395360
11250049
12170968
1310ac54
14a4120
157c225
hex60860

395360 has 48 divisors (see below), whose sum is σ = 1070496. Its totient is φ = 135168.

The previous prime is 395323. The next prime is 395377. The reversal of 395360 is 63593.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

395360 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 7 ways as a sum of consecutive naturals, for example, 944 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (22302).

2395360 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 395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535248).

395360 is an abundant number, since it is smaller than the sum of its proper divisors (675136).

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

395360 is a wasteful number, since it uses less digits than its factorization.

395360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 395360 is about 628.7765898950. The cubic root of 395360 is about 73.3946227750.

The spelling of 395360 in words is "three hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 353 560 706 1120 1412 1765 2471 2824 3530 4942 5648 7060 9884 11296 12355 14120 19768 24710 28240 39536 49420 56480 79072 98840 197680 395360