Search a number
-
+
664356 = 223711719
BaseRepresentation
bin10100010001100100100
31020202022210
42202030210
5132224411
622123420
75434620
oct2421444
91222283
10664356
11414160
12280570
131a3514
14134180
15d1ca6
hexa2324

664356 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 172320.

The previous prime is 664331. The next prime is 664357. The reversal of 664356 is 653466.

It is not an unprimeable number, because it can be changed into a prime (664357) by changing a digit.

664356 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2664356 is an apocalyptic number.

664356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

664356 is an abundant number, since it is smaller than the sum of its proper divisors (1271004).

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

664356 is a wasteful number, since it uses less digits than its factorization.

664356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 664356 is about 815.0803641360. The cubic root of 664356 is about 87.2570019805.

It can be divided in two parts, 66 and 4356, that multiplied together give a cube (287496 = 663).

The spelling of 664356 in words is "six hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 719 924 1438 2157 2876 4314 5033 7909 8628 10066 15099 15818 20132 23727 30198 31636 47454 55363 60396 94908 110726 166089 221452 332178 664356