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3312984220 = 2257132297949
BaseRepresentation
bin1100010101111000…
…0010000010011100
322112212222000222021
43011132002002130
523241110443340
61304424425524
7145045621060
oct30536020234
98485860867
103312984220
111450103097
127856182a4
1340a4aa2c0
14235dd9aa0
15145cb9e4a
hexc578209c

3312984220 has 96 divisors (see below), whose sum is σ = 8601264000. Its totient is φ = 1043794944.

The previous prime is 3312984209. The next prime is 3312984223. The reversal of 3312984220 is 224892133.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312984223) 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 31 ways as a sum of consecutive naturals, for example, 412806 + ... + 420754.

It is an arithmetic number, because the mean of its divisors is an integer number (89596500).

Almost surely, 23312984220 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 3312984220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300632000).

3312984220 is an abundant number, since it is smaller than the sum of its proper divisors (5288279780).

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

3312984220 is a wasteful number, since it uses less digits than its factorization.

3312984220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3312984220 is about 57558.5286469347. The cubic root of 3312984220 is about 1490.7556217225.

The spelling of 3312984220 in words is "three billion, three hundred twelve million, nine hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 229 260 364 455 458 910 916 1145 1603 1820 2290 2977 3206 4580 5954 6412 7949 8015 11908 14885 15898 16030 20839 29770 31796 32060 39745 41678 55643 59540 79490 83356 103337 104195 111286 158980 206674 208390 222572 278215 413348 416780 516685 556430 723359 1033370 1112860 1446718 1820321 2066740 2893436 3616795 3640642 7233590 7281284 9101605 12742247 14467180 18203210 23664173 25484494 36406420 47328346 50968988 63711235 94656692 118320865 127422470 165649211 236641730 254844940 331298422 473283460 662596844 828246055 1656492110 3312984220