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334110120 = 233513720323
BaseRepresentation
bin10011111010100…
…001110110101000
3212021200112220220
4103322201312220
51141013010440
653053050040
711164613661
oct2372416650
9767615826
10334110120
11161661973
1293a86920
13542b17c6
1432532368
151e4ea8d0
hex13ea1da8

334110120 has 64 divisors (see below), whose sum is σ = 1009696320. Its totient is φ = 88441344.

The previous prime is 334110071. The next prime is 334110149. The reversal of 334110120 is 21011433.

It is a super-2 number, since 2×3341101202 = 223259144572828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 334110120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 26601.

It is an arithmetic number, because the mean of its divisors is an integer number (15776505).

Almost surely, 2334110120 is an apocalyptic number.

334110120 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 334110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504848160).

334110120 is an abundant number, since it is smaller than the sum of its proper divisors (675586200).

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

334110120 is a wasteful number, since it uses less digits than its factorization.

334110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474 (or 20470 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 334110120 is about 18278.6793833690. The cubic root of 334110120 is about 693.8994503121.

Adding to 334110120 its reverse (21011433), we get a palindrome (355121553).

The spelling of 334110120 in words is "three hundred thirty-four million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 20323 40646 60969 81292 101615 121938 162584 203230 243876 304845 406460 487752 609690 812920 1219380 2438760 2784251 5568502 8352753 11137004 13921255 16705506 22274008 27842510 33411012 41763765 55685020 66822024 83527530 111370040 167055060 334110120