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334000200 = 233523117957
BaseRepresentation
bin10011111010000…
…111000001001000
3212021110222010210
4103322013001020
51141001001300
653050441120
711163645342
oct2372070110
9767428123
10334000200
11161597326
1293a331a0
1354273771
1432504292
151e4c8050
hex13e87048

334000200 has 96 divisors (see below), whose sum is σ = 1068860160. Its totient is φ = 86188800.

The previous prime is 334000171. The next prime is 334000211. The reversal of 334000200 is 2000433.

It is a super-2 number, since 2×3340002002 = 223112267200080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9622 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (11133960).

Almost surely, 2334000200 is an apocalyptic number.

334000200 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 334000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534430080).

334000200 is an abundant number, since it is smaller than the sum of its proper divisors (734859960).

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

334000200 is a wasteful number, since it uses less digits than its factorization.

334000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18007 (or 17998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 334000200 is about 18275.6723542528. The cubic root of 334000200 is about 693.8233458692.

Adding to 334000200 its reverse (2000433), we get a palindrome (336000633).

The spelling of 334000200 in words is "three hundred thirty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 17957 18600 35914 53871 71828 89785 107742 143656 179570 215484 269355 359140 430968 448925 538710 556667 718280 897850 1077420 1113334 1346775 1670001 1795700 2154840 2226668 2693550 2783335 3340002 3591400 4453336 5387100 5566670 6680004 8350005 10774200 11133340 13360008 13916675 16700010 22266680 27833350 33400020 41750025 55666700 66800040 83500050 111333400 167000100 334000200