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384330 = 23523557
BaseRepresentation
bin1011101110101001010
3201112012110
41131311022
544244310
612123150
73160332
oct1356512
9645173
10384330
11242831
121664b6
13105c1b
14a00c2
1578d20
hex5dd4a

384330 has 32 divisors (see below), whose sum is σ = 964224. Its totient is φ = 97856.

The previous prime is 384317. The next prime is 384331. The reversal of 384330 is 33483.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 384297 and 384306.

It is not an unprimeable number, because it can be changed into a prime (384331) by changing a digit.

384330 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 15 ways as a sum of consecutive naturals, for example, 412 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (30132).

2384330 is an apocalyptic number.

384330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112).

384330 is an abundant number, since it is smaller than the sum of its proper divisors (579894).

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

384330 is a wasteful number, since it uses less digits than its factorization.

384330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 384330 is about 619.9435458169. The cubic root of 384330 is about 72.7056389252.

The spelling of 384330 in words is "three hundred eighty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 557 690 1114 1671 2785 3342 5570 8355 12811 16710 25622 38433 64055 76866 128110 192165 384330