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386232 = 233711219
BaseRepresentation
bin1011110010010111000
3201121210220
41132102320
544324412
612140040
73166020
oct1362270
9647726
10386232
11244200
12167620
13106a52
14a0a80
157968c
hex5e4b8

386232 has 96 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 95040.

The previous prime is 386227. The next prime is 386233. The reversal of 386232 is 232683.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20319 + ... + 20337.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2386232 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 386232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400).

386232 is an abundant number, since it is smaller than the sum of its proper divisors (890568).

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

386232 is a wasteful number, since it uses less digits than its factorization.

386232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 386232 is about 621.4756632403. The cubic root of 386232 is about 72.8253785849.

The spelling of 386232 in words is "three hundred eighty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 121 132 133 152 154 168 209 228 231 242 264 266 308 363 399 418 456 462 484 532 616 627 726 798 836 847 924 968 1064 1254 1452 1463 1596 1672 1694 1848 2299 2508 2541 2904 2926 3192 3388 4389 4598 5016 5082 5852 6776 6897 8778 9196 10164 11704 13794 16093 17556 18392 20328 27588 32186 35112 48279 55176 64372 96558 128744 193116 386232