Search a number
-
+
334360200 = 233522324229
BaseRepresentation
bin10011111011011…
…110111010001000
3212022011020222010
4103323132322020
51141044011300
653102255520
711200005036
oct2373367210
9768136863
10334360200
11161812849
1293b875a0
135436b595
1432599556
151e549a50
hex13edee88

334360200 has 96 divisors (see below), whose sum is σ = 1081627200. Its totient is φ = 85282560.

The previous prime is 334360193. The next prime is 334360241. The reversal of 334360200 is 2063433.

It is a super-2 number, since 2×3343602002 = 223593486688080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686 + ... + 25914.

It is an arithmetic number, because the mean of its divisors is an integer number (11266950).

Almost surely, 2334360200 is an apocalyptic number.

334360200 is a gapful number since it is divisible by the number (30) 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 334360200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540813600).

334360200 is an abundant number, since it is smaller than the sum of its proper divisors (747267000).

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

334360200 is a wasteful number, since it uses less digits than its factorization.

334360200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24271 (or 24262 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 334360200 is about 18285.5188605629. The cubic root of 334360200 is about 694.0725340616.

The spelling of 334360200 in words is "three hundred thirty-four million, three hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 24229 48458 72687 96916 121145 145374 193832 242290 290748 363435 484580 557267 581496 605725 726870 969160 1114534 1211450 1453740 1671801 1817175 2229068 2422900 2786335 2907480 3343602 3634350 4458136 4845800 5572670 6687204 7268700 8359005 11145340 13374408 13931675 14537400 16718010 22290680 27863350 33436020 41795025 55726700 66872040 83590050 111453400 167180100 334360200