Search a number
-
+
334180 = 225721131
BaseRepresentation
bin1010001100101100100
3121222102001
41101211210
541143210
611055044
72561200
oct1214544
9558361
10334180
11209090
12141484
13b9152
1489b00
156903a
hex51964

334180 has 72 divisors (see below), whose sum is σ = 919296. Its totient is φ = 100800.

The previous prime is 334177. The next prime is 334183. The reversal of 334180 is 81433.

It is an interprime number because it is at equal distance from previous prime (334177) and next prime (334183).

It is a super-2 number, since 2×3341802 = 223352544800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334183) 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, 10765 + ... + 10795.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2334180 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 334180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

334180 is an abundant number, since it is smaller than the sum of its proper divisors (585116).

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

334180 is a wasteful number, since it uses less digits than its factorization.

334180 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 288, while the sum is 19.

The square root of 334180 is about 578.0830390178. The cubic root of 334180 is about 69.3947823898.

The spelling of 334180 in words is "three hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 49 55 62 70 77 98 110 124 140 154 155 196 217 220 245 308 310 341 385 434 490 539 620 682 770 868 980 1078 1085 1364 1519 1540 1705 2156 2170 2387 2695 3038 3410 4340 4774 5390 6076 6820 7595 9548 10780 11935 15190 16709 23870 30380 33418 47740 66836 83545 167090 334180