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3214104200 = 2352113142217
BaseRepresentation
bin1011111110010011…
…0101011010001000
322021222220102002022
42333210311122020
523040302313300
61250533224012
7142435302116
oct27744653210
98258812068
103214104200
1113aa30706a
12758492008
133c2b69508
14226c1aab6
1513c287285
hexbf935688

3214104200 has 48 divisors (see below), whose sum is σ = 7538976180. Its totient is φ = 1274255360.

The previous prime is 3214104169. The next prime is 3214104209. The reversal of 3214104200 is 24014123.

It can be written as a sum of positive squares in 6 ways, for example, as 1125065764 + 2089038436 = 33542^2 + 45706^2 .

It is not an unprimeable number, because it can be changed into a prime (3214104209) 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 11 ways as a sum of consecutive naturals, for example, 48509 + ... + 93708.

Almost surely, 23214104200 is an apocalyptic number.

It is an amenable number.

3214104200 is an abundant number, since it is smaller than the sum of its proper divisors (4324871980).

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

3214104200 is a wasteful number, since it uses less digits than its factorization.

3214104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142346 (or 142337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3214104200 is about 56693.0701232523. The cubic root of 3214104200 is about 1475.7744396226.

Adding to 3214104200 its reverse (24014123), we get a palindrome (3238118323).

The spelling of 3214104200 in words is "three billion, two hundred fourteen million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 142217 284434 568868 711085 1137736 1422170 2844340 3555425 5688680 7110850 14221700 16070521 28443400 32141042 64282084 80352605 128564168 160705210 321410420 401763025 642820840 803526050 1607052100 3214104200