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3301000200 = 2332524144729
BaseRepresentation
bin1100010011000001…
…0100010000001000
322112001102011222200
43010300110100020
523230024001300
61303315520200
7144542016201
oct30460242010
98461364880
103301000200
111444368343
127815b9060
13407b72674
1423459a5a8
15144bee200
hexc4c14408

3301000200 has 144 divisors (see below), whose sum is σ = 11356499700. Its totient is φ = 858777600.

The previous prime is 3301000193. The next prime is 3301000229. The reversal of 3301000200 is 20001033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 774731556 + 2526268644 = 27834^2 + 50262^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51436 + ... + 96164.

Almost surely, 23301000200 is an apocalyptic number.

3301000200 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 3301000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678249850).

3301000200 is an abundant number, since it is smaller than the sum of its proper divisors (8055499500).

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

3301000200 is a wasteful number, since it uses less digits than its factorization.

3301000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44792 (or 44780 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3301000200 is about 57454.3314294057. The cubic root of 3301000200 is about 1488.9559522361.

Adding to 3301000200 its reverse (20001033), we get a palindrome (3321001233).

The spelling of 3301000200 in words is "three billion, three hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 600 615 738 820 900 984 1025 1230 1476 1640 1800 1845 2050 2460 2952 3075 3690 4100 4920 6150 7380 8200 9225 12300 14760 18450 24600 36900 44729 73800 89458 134187 178916 223645 268374 357832 402561 447290 536748 670935 805122 894580 1073496 1118225 1341870 1610244 1789160 1833889 2012805 2236450 2683740 3220488 3354675 3667778 4025610 4472900 5367480 5501667 6709350 7335556 8051220 8945800 9169445 10064025 11003334 13418700 14671112 16102440 16505001 18338890 20128050 22006668 26837400 27508335 33010002 36677780 40256100 44013336 45847225 55016670 66020004 73355560 80512200 82525005 91694450 110033340 132040008 137541675 165050010 183388900 220066680 275083350 330100020 366777800 412625025 550166700 660200040 825250050 1100333400 1650500100 3301000200