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384680 = 23559163
BaseRepresentation
bin1011101111010101000
3201112200102
41131322220
544302210
612124532
73161342
oct1357250
9645612
10384680
1124301a
12166748
1310612a
14a0292
1578ea5
hex5dea8

384680 has 32 divisors (see below), whose sum is σ = 885600. Its totient is φ = 150336.

The previous prime is 384673. The next prime is 384691. The reversal of 384680 is 86483.

384680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

384680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2279 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (27675).

2384680 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 384680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442800).

384680 is an abundant number, since it is smaller than the sum of its proper divisors (500920).

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

384680 is a wasteful number, since it uses less digits than its factorization.

384680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 384680 is about 620.2257653468. The cubic root of 384680 is about 72.7277026490.

The spelling of 384680 in words is "three hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 163 236 295 326 472 590 652 815 1180 1304 1630 2360 3260 6520 9617 19234 38468 48085 76936 96170 192340 384680