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200384 = 2631101
BaseRepresentation
bin110000111011000000
3101011212122
4300323000
522403014
64143412
71463132
oct607300
9334778
10200384
11127608
1297b68
1370292
1453052
153e58e
hex30ec0

200384 has 28 divisors (see below), whose sum is σ = 414528. Its totient is φ = 96000.

The previous prime is 200383. The next prime is 200401. The reversal of 200384 is 483002.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (200381) 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 3 ways as a sum of consecutive naturals, for example, 1934 + ... + 2034.

2200384 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 200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207264).

200384 is an abundant number, since it is smaller than the sum of its proper divisors (214144).

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

200384 is a wasteful number, since it uses less digits than its factorization.

With its successor (200385) it forms an eRAP, since the sums of their prime factors are consecutive (144 and 145).

200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 200384 is about 447.6427146732. The cubic root of 200384 is about 58.5177582633.

Adding to 200384 its reverse (483002), we get a palindrome (683386).

The spelling of 200384 in words is "two hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 202 248 404 496 808 992 1616 1984 3131 3232 6262 6464 12524 25048 50096 100192 200384