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406224 = 243271331
BaseRepresentation
bin1100011001011010000
3202122020100
41203023100
5100444344
612412400
73311220
oct1431320
9678210
10406224
11258225
12177100
13112b90
14a8080
1580569
hex632d0

406224 has 120 divisors (see below), whose sum is σ = 1444352. Its totient is φ = 103680.

The previous prime is 406207. The next prime is 406247. The reversal of 406224 is 422604.

Added to its reverse (422604) it gives a triangular number (828828 = T1287).

406224 is a `hidden beast` number, since 40 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 406197 and 406206.

It is a congruent number.

It is an unprimeable number.

406224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13089 + ... + 13119.

2406224 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 406224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722176).

406224 is an abundant number, since it is smaller than the sum of its proper divisors (1038128).

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

406224 is a wasteful number, since it uses less digits than its factorization.

406224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 406224 is about 637.3570427947. The cubic root of 406224 is about 74.0608216786.

Adding to 406224 its reverse (422604), we get a palindrome (828828).

It can be divided in two parts, 406 and 224, that added together give a triangular number (630 = T35).

The spelling of 406224 in words is "four hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 36 39 42 48 52 56 62 63 72 78 84 91 93 104 112 117 124 126 144 156 168 182 186 208 217 234 248 252 273 279 312 336 364 372 403 434 468 496 504 546 558 624 651 728 744 806 819 868 936 1008 1092 1116 1209 1302 1456 1488 1612 1638 1736 1872 1953 2184 2232 2418 2604 2821 3224 3276 3472 3627 3906 4368 4464 4836 5208 5642 6448 6552 7254 7812 8463 9672 10416 11284 13104 14508 15624 16926 19344 22568 25389 29016 31248 33852 45136 50778 58032 67704 101556 135408 203112 406224