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3445506512 = 247195093181
BaseRepresentation
bin1100110101011110…
…0100000111010000
322220010022212101022
43031113210013100
524024022202022
61325521055012
7151245215330
oct31527440720
98803285338
103445506512
111508998048
12801a87468
1342ba99b66
142498550c0
15152745c42
hexcd5e41d0

3445506512 has 80 divisors (see below), whose sum is σ = 8049187200. Its totient is φ = 1395740160.

The previous prime is 3445506499. The next prime is 3445506523. The reversal of 3445506512 is 2156055443.

It is a super-2 number, since 2×34455065122 = 23743030248468812288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081562 + ... + 1084742.

It is an arithmetic number, because the mean of its divisors is an integer number (100614840).

Almost surely, 23445506512 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 3445506512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024593600).

3445506512 is an abundant number, since it is smaller than the sum of its proper divisors (4603680688).

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

3445506512 is a wasteful number, since it uses less digits than its factorization.

3445506512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 3445506512 is about 58698.4370490390. The cubic root of 3445506512 is about 1510.3735040845.

The spelling of 3445506512 in words is "three billion, four hundred forty-five million, five hundred six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 509 532 1018 1064 2036 2128 3181 3563 4072 6362 7126 8144 9671 12724 14252 19342 22267 25448 28504 38684 44534 50896 57008 60439 67697 77368 89068 120878 135394 154736 178136 241756 270788 356272 423073 483512 541576 846146 967024 1083152 1619129 1692292 3238258 3384584 6476516 6769168 11333903 12953032 22667806 25906064 30763451 45335612 61526902 90671224 123053804 181342448 215344157 246107608 430688314 492215216 861376628 1722753256 3445506512