Search a number
-
+
396352 = 2611563
BaseRepresentation
bin1100000110001000000
3202010200201
41200301000
5100140402
612254544
73240355
oct1406100
9663621
10396352
11250870
12171454
1310b538
14a462c
157c687
hex60c40

396352 has 28 divisors (see below), whose sum is σ = 859536. Its totient is φ = 179840.

The previous prime is 396349. The next prime is 396353. The reversal of 396352 is 253693.

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

It is a self number, because there is not a number n which added to its sum of digits gives 396352.

It is not an unprimeable number, because it can be changed into a prime (396353) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 423 + ... + 985.

2396352 is an apocalyptic number.

396352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429768).

396352 is an abundant number, since it is smaller than the sum of its proper divisors (463184).

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

396352 is a wasteful number, since it uses less digits than its factorization.

396352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 4860, while the sum is 28.

The square root of 396352 is about 629.5649291376. The cubic root of 396352 is about 73.4559564596.

The spelling of 396352 in words is "three hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 563 704 1126 2252 4504 6193 9008 12386 18016 24772 36032 49544 99088 198176 396352