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230384 = 24711217
BaseRepresentation
bin111000001111110000
3102201000202
4320033300
524333014
64534332
71646450
oct701760
9381022
10230384
11148100
12b13a8
1380b2b
145dd60
15483de
hex383f0

230384 has 60 divisors (see below), whose sum is σ = 593712. Its totient is φ = 84480.

The previous prime is 230383. The next prime is 230387. The reversal of 230384 is 483032.

230384 = T99 + T100 + ... + T132.

230384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13544 + ... + 13560.

2230384 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 230384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

230384 is an abundant number, since it is smaller than the sum of its proper divisors (363328).

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

230384 is a wasteful number, since it uses less digits than its factorization.

230384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 230384 is about 479.9833330440. The cubic root of 230384 is about 61.3033354671.

The spelling of 230384 in words is "two hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 121 136 154 176 187 238 242 272 308 374 476 484 616 748 847 952 968 1232 1309 1496 1694 1904 1936 2057 2618 2992 3388 4114 5236 6776 8228 10472 13552 14399 16456 20944 28798 32912 57596 115192 230384