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395380 = 22553373
BaseRepresentation
bin1100000100001110100
3202002100201
41200201310
5100123010
612250244
73234466
oct1404164
9662321
10395380
11250067
12170984
1310ac6b
14a4136
157c23a
hex60874

395380 has 24 divisors (see below), whose sum is σ = 848232. Its totient is φ = 154752.

The previous prime is 395377. The next prime is 395383. The reversal of 395380 is 83593.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395377) and next prime (395383).

It can be written as a sum of positive squares in 4 ways, for example, as 77284 + 318096 = 278^2 + 564^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 1246.

It is an arithmetic number, because the mean of its divisors is an integer number (35343).

2395380 is an apocalyptic number.

It is an amenable number.

395380 is an abundant number, since it is smaller than the sum of its proper divisors (452852).

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

395380 is a wasteful number, since it uses less digits than its factorization.

395380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 395380 is about 628.7924935939. The cubic root of 395380 is about 73.3958603540.

The spelling of 395380 in words is "three hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 53 106 212 265 373 530 746 1060 1492 1865 3730 7460 19769 39538 79076 98845 197690 395380