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3312829845 = 325137997739
BaseRepresentation
bin1100010101110101…
…1100010110010101
322112212200012012200
43011131130112111
523241041023340
61304421235113
7145044406023
oct30535342625
98485605180
103312829845
111450008106
12785562a99
1340a454c60
14235d99713
15145c89330
hexc575c595

3312829845 has 96 divisors (see below), whose sum is σ = 6335347200. Its totient is φ = 1591529472.

The previous prime is 3312829837. The next prime is 3312829847. The reversal of 3312829845 is 5489282133.

3312829845 is a `hidden beast` number, since 3 + 312 + 8 + 298 + 45 = 666.

It is not a de Polignac number, because 3312829845 - 23 = 3312829837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3312829845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312829847) 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 95 ways as a sum of consecutive naturals, for example, 4482486 + ... + 4483224.

It is an arithmetic number, because the mean of its divisors is an integer number (65993200).

Almost surely, 23312829845 is an apocalyptic number.

It is an amenable number.

3312829845 is a deficient number, since it is larger than the sum of its proper divisors (3022517355).

3312829845 is a wasteful number, since it uses less digits than its factorization.

3312829845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 936 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3312829845 is about 57557.1876050246. The cubic root of 3312829845 is about 1490.7324664685.

The spelling of 3312829845 in words is "three billion, three hundred twelve million, eight hundred twenty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 79 97 117 195 237 291 395 485 585 711 739 873 1027 1185 1261 1455 2217 3081 3555 3695 3783 4365 5135 6305 6651 7663 9243 9607 11085 11349 15405 18915 22989 28821 33255 38315 46215 48035 56745 58381 68967 71683 86463 99619 114945 144105 175143 215049 291905 298857 344835 358415 432315 498095 525429 645147 758953 875715 896571 931879 1075245 1494285 2276859 2627145 2795637 3225735 3794765 4482855 4659395 5662957 6830577 8386911 11384295 13978185 16988871 28314785 34152885 41934555 50966613 73618441 84944355 220855323 254833065 368092205 662565969 1104276615 3312829845