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386484 = 223743107
BaseRepresentation
bin1011110010110110100
3201122011020
41132112310
544331414
612141140
73166530
oct1362664
9648136
10386484
1124440a
121677b0
13106bb7
14a0bc0
15797a9
hex5e5b4

386484 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 106848.

The previous prime is 386471. The next prime is 386489. The reversal of 386484 is 484683.

386484 = T112 + T113 + ... + T154.

386484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386489) by changing a digit.

386484 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, 3559 + ... + 3665.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2386484 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 386484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

386484 is an abundant number, since it is smaller than the sum of its proper divisors (677964).

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

386484 is a wasteful number, since it uses less digits than its factorization.

386484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 386484 is about 621.6783734376. The cubic root of 386484 is about 72.8412136318.

The spelling of 386484 in words is "three hundred eighty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 107 129 172 214 258 301 321 428 516 602 642 749 903 1204 1284 1498 1806 2247 2996 3612 4494 4601 8988 9202 13803 18404 27606 32207 55212 64414 96621 128828 193242 386484