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384256 = 281979
BaseRepresentation
bin1011101110100000000
3201112002201
41131310000
544244011
612122544
73160165
oct1356400
9645081
10384256
11242774
12166454
13105b92
14a006c
1578cc1
hex5dd00

384256 has 36 divisors (see below), whose sum is σ = 817600. Its totient is φ = 179712.

The previous prime is 384253. The next prime is 384257. The reversal of 384256 is 652483.

384256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (384253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4825 + ... + 4903.

2384256 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 384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408800).

384256 is an abundant number, since it is smaller than the sum of its proper divisors (433344).

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

384256 is an equidigital number, since it uses as much as digits as its factorization.

384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 384256 is about 619.8838600899. The cubic root of 384256 is about 72.7009723083.

The spelling of 384256 in words is "three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 128 152 158 256 304 316 608 632 1216 1264 1501 2432 2528 3002 4864 5056 6004 10112 12008 20224 24016 48032 96064 192128 384256