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3342132200 = 2352114673253
BaseRepresentation
bin1100011100110100…
…1110001111101000
322121220210220111002
43013031032033220
523321041212300
61311345254132
7145551440441
oct30715161750
98556726432
103342132200
111465601430
12793334348
13413544524
14239c262c8
151486265d5
hexc734e3e8

3342132200 has 96 divisors (see below), whose sum is σ = 8497625760. Its totient is φ = 1212345600.

The previous prime is 3342132197. The next prime is 3342132203. The reversal of 3342132200 is 22312433.

It is an interprime number because it is at equal distance from previous prime (3342132197) and next prime (3342132203).

It is a super-2 number, since 2×33421322002 = 22339695284553680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3342132203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025774 + ... + 1029026.

It is an arithmetic number, because the mean of its divisors is an integer number (88516935).

Almost surely, 23342132200 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 3342132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248812880).

3342132200 is an abundant number, since it is smaller than the sum of its proper divisors (5155493560).

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

3342132200 is a wasteful number, since it uses less digits than its factorization.

3342132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3342132200 is about 57811.1771199999. The cubic root of 3342132200 is about 1495.1148034715.

Adding to 3342132200 its reverse (22312433), we get a palindrome (3364444633).

The spelling of 3342132200 in words is "three billion, three hundred forty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 467 550 934 1100 1868 2200 2335 3253 3736 4670 5137 6506 9340 10274 11675 13012 16265 18680 20548 23350 25685 26024 32530 35783 41096 46700 51370 65060 71566 81325 93400 102740 128425 130120 143132 162650 178915 205480 256850 286264 325300 357830 513700 650600 715660 894575 1027400 1431320 1519151 1789150 3038302 3578300 6076604 7156600 7595755 12153208 15191510 16710661 30383020 33421322 37978775 60766040 66842644 75957550 83553305 133685288 151915100 167106610 303830200 334213220 417766525 668426440 835533050 1671066100 3342132200