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3345512112 = 243326928789
BaseRepresentation
bin1100011101101000…
…0111011010110000
322122011011121212000
43013122013122300
523322422341422
61311545534000
7145622245425
oct30732073260
98564147760
103345512112
1114674aa848
127944a4300
13414158a87
1423a465d4c
15148a92cac
hexc76876b0

3345512112 has 80 divisors (see below), whose sum is σ = 9638892000. Its totient is φ = 1110986496.

The previous prime is 3345512087. The next prime is 3345512117. The reversal of 3345512112 is 2112155433.

3345512112 is a `hidden beast` number, since 3 + 34 + 5 + 512 + 112 = 666.

3345512112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×33455121123 (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 (27).

It is not an unprimeable number, because it can be changed into a prime (3345512117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101814 + ... + 130602.

It is an arithmetic number, because the mean of its divisors is an integer number (120486150).

Almost surely, 23345512112 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 3345512112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819446000).

3345512112 is an abundant number, since it is smaller than the sum of its proper divisors (6293379888).

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

3345512112 is a wasteful number, since it uses less digits than its factorization.

3345512112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29075 (or 29063 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3345512112 is about 57840.4020732913. The cubic root of 3345512112 is about 1495.6186389102.

Adding to 3345512112 its reverse (2112155433), we get a palindrome (5457667545).

The spelling of 3345512112 in words is "three billion, three hundred forty-five million, five hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 807 1076 1614 2152 2421 3228 4304 4842 6456 7263 9684 12912 14526 19368 28789 29052 38736 57578 58104 86367 115156 116208 172734 230312 259101 345468 460624 518202 690936 777303 1036404 1381872 1554606 2072808 3109212 4145616 6218424 7744241 12436848 15488482 23232723 30976964 46465446 61953928 69698169 92930892 123907856 139396338 185861784 209094507 278792676 371723568 418189014 557585352 836378028 1115170704 1672756056 3345512112