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395076 = 223114173
BaseRepresentation
bin1100000011101000100
3202001221110
41200131010
5100120301
612245020
73233553
oct1403504
9661843
10395076
1124a910
12170770
1310aa96
14a3d9a
157c0d6
hex60744

395076 has 48 divisors (see below), whose sum is σ = 1044288. Its totient is φ = 115200.

The previous prime is 395069. The next prime is 395089. The reversal of 395076 is 670593.

395076 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 an unprimeable number.

395076 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5376 + ... + 5448.

It is an arithmetic number, because the mean of its divisors is an integer number (21756).

2395076 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 395076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522144).

395076 is an abundant number, since it is smaller than the sum of its proper divisors (649212).

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

395076 is a wasteful number, since it uses less digits than its factorization.

395076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 395076 is about 628.5507139444. The cubic root of 395076 is about 73.3770446472.

It can be divided in two parts, 39 and 5076, that added together give a palindrome (5115).

The spelling of 395076 in words is "three hundred ninety-five thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 73 82 123 132 146 164 219 246 292 438 451 492 803 876 902 1353 1606 1804 2409 2706 2993 3212 4818 5412 5986 8979 9636 11972 17958 32923 35916 65846 98769 131692 197538 395076