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3387027312 = 2436290383
BaseRepresentation
bin1100100111100001…
…1110111101110000
322202001021211000000
43021320132331300
523414034333222
61320031430000
7146635154124
oct31170367560
98661254000
103387027312
111488985829
127a6385300
1341c933196
14241b91584
1514c5439ac
hexc9e1ef70

3387027312 has 70 divisors (see below), whose sum is σ = 9839081072. Its totient is φ = 1129005216.

The previous prime is 3387027289. The next prime is 3387027313. The reversal of 3387027312 is 2137207833.

3387027312 is a `hidden beast` number, since 3 + 387 + 0 + 273 + 1 + 2 = 666.

It is a super-3 number, since 3×33870273123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387027313) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 133528 + ... + 156855.

Almost surely, 23387027312 is an apocalyptic number.

It is an amenable number.

3387027312 is an abundant number, since it is smaller than the sum of its proper divisors (6452053760).

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

3387027312 is an equidigital number, since it uses as much as digits as its factorization.

3387027312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290409 (or 290388 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3387027312 is about 58198.1727548211. The cubic root of 3387027312 is about 1501.7797115827.

The spelling of 3387027312 in words is "three billion, three hundred eighty-seven million, twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 290383 580766 871149 1161532 1742298 2323064 2613447 3484596 4646128 5226894 6969192 7840341 10453788 13938384 15680682 20907576 23521023 31361364 41815152 47042046 62722728 70563069 94084092 125445456 141126138 188168184 211689207 282252276 376336368 423378414 564504552 846756828 1129009104 1693513656 3387027312