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384714 = 232112967
BaseRepresentation
bin1011101111011001010
3201112201200
41131323022
544302324
612125030
73161421
oct1357312
9645650
10384714
11243050
12166776
13106155
14a02b8
1578ec9
hex5deca

384714 has 48 divisors (see below), whose sum is σ = 954720. Its totient is φ = 110880.

The previous prime is 384701. The next prime is 384719. The reversal of 384714 is 417483.

384714 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (2688) is a multiple of the sum of its prime divisors (112).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (384719) by changing a digit.

384714 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5709 + ... + 5775.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2384714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477360).

384714 is an abundant number, since it is smaller than the sum of its proper divisors (570006).

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

384714 is a wasteful number, since it uses less digits than its factorization.

384714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 384714 is about 620.2531741152. The cubic root of 384714 is about 72.7298452689.

The spelling of 384714 in words is "three hundred eighty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 67 87 99 134 174 198 201 261 319 402 522 603 638 737 957 1206 1474 1914 1943 2211 2871 3886 4422 5742 5829 6633 11658 13266 17487 21373 34974 42746 64119 128238 192357 384714