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386334 = 232132127
BaseRepresentation
bin1011110010100011110
3201121221200
41132110132
544330314
612140330
73166224
oct1362436
9647850
10386334
11244293
121676a6
13106b00
14a0b14
1579709
hex5e51e

386334 has 36 divisors (see below), whose sum is σ = 913536. Its totient is φ = 117936.

The previous prime is 386333. The next prime is 386339. The reversal of 386334 is 433683.

It is a super-3 number, since 3×3863343 = 172985637633323112, which contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 386298 and 386307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386334.

It is not an unprimeable number, because it can be changed into a prime (386333) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2979 + ... + 3105.

It is an arithmetic number, because the mean of its divisors is an integer number (25376).

2386334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456768).

386334 is an abundant number, since it is smaller than the sum of its proper divisors (527202).

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

386334 is a wasteful number, since it uses less digits than its factorization.

386334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 386334 is about 621.5577205699. The cubic root of 386334 is about 72.8317888382.

The spelling of 386334 in words is "three hundred eighty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 169 234 254 338 381 507 762 1014 1143 1521 1651 2286 3042 3302 4953 9906 14859 21463 29718 42926 64389 128778 193167 386334