Search a number
-
+
334100200 = 235271671429
BaseRepresentation
bin10011111010011…
…111011011101000
3212021200001022111
4103322133123220
51141012201300
653052532104
711164543030
oct2372373350
9767601274
10334100200
11161655475
1293a81034
13542aa135
143252c8c0
151e4e79ba
hex13e9f6e8

334100200 has 96 divisors (see below), whose sum is σ = 893692800. Its totient is φ = 113783040.

The previous prime is 334100191. The next prime is 334100279. The reversal of 334100200 is 2001433.

334100200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341002002 = 223245887280080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233086 + ... + 234514.

It is an arithmetic number, because the mean of its divisors is an integer number (9309300).

Almost surely, 2334100200 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 334100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

334100200 is an abundant number, since it is smaller than the sum of its proper divisors (559592600).

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

334100200 is a wasteful number, since it uses less digits than its factorization.

334100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 334100200 is about 18278.4080269590. The cubic root of 334100200 is about 693.8925827652.

Adding to 334100200 its reverse (2001433), we get a palindrome (336101633).

The spelling of 334100200 in words is "three hundred thirty-four million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 167 175 200 280 334 350 668 700 835 1169 1336 1400 1429 1670 2338 2858 3340 4175 4676 5716 5845 6680 7145 8350 9352 10003 11432 11690 14290 16700 20006 23380 28580 29225 33400 35725 40012 46760 50015 57160 58450 71450 80024 100030 116900 142900 200060 233800 238643 250075 285800 400120 477286 500150 954572 1000300 1193215 1670501 1909144 2000600 2386430 3341002 4772860 5966075 6682004 8352505 9545720 11932150 13364008 16705010 23864300 33410020 41762525 47728600 66820040 83525050 167050100 334100200