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3124840212 = 22321310166109
BaseRepresentation
bin1011101001000001…
…0100011100010100
322001202221022220200
42322100110130110
522344424341322
61234024100500
7140302463214
oct27220243424
98052838820
103124840212
11136398877a
12732604730
133aa5145a0
14219022244
151345038ac
hexba414714

3124840212 has 72 divisors (see below), whose sum is σ = 8590862280. Its totient is φ = 951955200.

The previous prime is 3124840211. The next prime is 3124840223. The reversal of 3124840212 is 2120484213.

3124840212 is a `hidden beast` number, since 3 + 1 + 248 + 402 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 923916816 + 2200923396 = 30396^2 + 46914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124840211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14214 + ... + 80322.

Almost surely, 23124840212 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 3124840212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295431140).

3124840212 is an abundant number, since it is smaller than the sum of its proper divisors (5466022068).

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

3124840212 is a wasteful number, since it uses less digits than its factorization.

3124840212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66233 (or 66228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3124840212 is about 55900.2702319050. The cubic root of 3124840212 is about 1461.9839501246.

The spelling of 3124840212 in words is "three billion, one hundred twenty-four million, eight hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2626 3636 3939 5252 7878 11817 15756 23634 47268 66109 132218 198327 264436 396654 594981 793308 859417 1189962 1718834 2379924 2578251 3437668 5156502 6677009 7734753 10313004 13354018 15469506 20031027 26708036 30939012 40062054 60093081 80124108 86801117 120186162 173602234 240372324 260403351 347204468 520806702 781210053 1041613404 1562420106 3124840212