Search a number
-
+
334264 = 23747127
BaseRepresentation
bin1010001100110111000
3121222112011
41101212320
541144024
611055304
72561350
oct1214670
9558464
10334264
11209157
12141534
13b91b8
1489b60
1569094
hex519b8

334264 has 32 divisors (see below), whose sum is σ = 737280. Its totient is φ = 139104.

The previous prime is 334261. The next prime is 334289. The reversal of 334264 is 462433.

It is a super-2 number, since 2×3342642 = 223464843392, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 32 + 38 + 23 + 48 + 6 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2334264 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 334264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368640).

334264 is an abundant number, since it is smaller than the sum of its proper divisors (403016).

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

334264 is a wasteful number, since it uses less digits than its factorization.

334264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 334264 is about 578.1556883747. The cubic root of 334264 is about 69.4005962958.

Adding to 334264 its reverse (462433), we get a palindrome (796697).

The spelling of 334264 in words is "three hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 127 188 254 329 376 508 658 889 1016 1316 1778 2632 3556 5969 7112 11938 23876 41783 47752 83566 167132 334264