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3243130200 = 23325210117839
BaseRepresentation
bin1100000101001110…
…0011110101011000
322101000112002021100
43001103203311120
523120220131300
61253451311400
7143240103042
oct30123436530
98330462240
103243130200
1114147317a2
1276614b560
133c8b9006b
1422aa14a92
1513eabc700
hexc14e3d58

3243130200 has 144 divisors (see below), whose sum is σ = 10999965600. Its totient is φ = 856224000.

The previous prime is 3243130183. The next prime is 3243130201. The reversal of 3243130200 is 20313423.

3243130200 is a `hidden beast` number, since 3 + 2 + 431 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243130201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172881 + ... + 190719.

It is an arithmetic number, because the mean of its divisors is an integer number (76388650).

Almost surely, 23243130200 is an apocalyptic number.

3243130200 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 3243130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499982800).

3243130200 is an abundant number, since it is smaller than the sum of its proper divisors (7756835400).

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

3243130200 is a wasteful number, since it uses less digits than its factorization.

3243130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3243130200 is about 56948.4872494432. The cubic root of 3243130200 is about 1480.2036181987.

Adding to 3243130200 its reverse (20313423), we get a palindrome (3263443623).

The spelling of 3243130200 in words is "three billion, two hundred forty-three million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 101 120 150 180 200 202 225 300 303 360 404 450 505 600 606 808 900 909 1010 1212 1515 1800 1818 2020 2424 2525 3030 3636 4040 4545 5050 6060 7272 7575 9090 10100 12120 15150 17839 18180 20200 22725 30300 35678 36360 45450 53517 60600 71356 89195 90900 107034 142712 160551 178390 181800 214068 267585 321102 356780 428136 445975 535170 642204 713560 802755 891950 1070340 1284408 1337925 1605510 1783900 1801739 2140680 2675850 3211020 3567800 3603478 4013775 5351700 5405217 6422040 7206956 8027550 9008695 10703400 10810434 14413912 16055100 16215651 18017390 21620868 27026085 32110200 32431302 36034780 43241736 45043475 54052170 64862604 72069560 81078255 90086950 108104340 129725208 135130425 162156510 180173900 216208680 270260850 324313020 360347800 405391275 540521700 648626040 810782550 1081043400 1621565100 3243130200