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3334112064 = 26337326431
BaseRepresentation
bin1100011010111010…
…1000001101000000
322121100201102221000
43012232220031000
523312013041224
61310501332000
7145423325223
oct30656501500
98540642830
103334112064
111461023818
12790707000
13411996b9a
14238b395ba
15147a900c9
hexc6ba8340

3334112064 has 112 divisors (see below), whose sum is σ = 9936317440. Its totient is φ = 1096104960.

The previous prime is 3334112057. The next prime is 3334112083. The reversal of 3334112064 is 4602114333.

It is a super-2 number, since 2×33341120642 = 22232606510620680192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112929 + ... + 139359.

It is an arithmetic number, because the mean of its divisors is an integer number (88717120).

Almost surely, 23334112064 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 3334112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968158720).

3334112064 is an abundant number, since it is smaller than the sum of its proper divisors (6602205376).

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

3334112064 is a wasteful number, since it uses less digits than its factorization.

3334112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26525 (or 26509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3334112064 is about 57741.7705305267. The cubic root of 3334112064 is about 1493.9179000384.

Adding to 3334112064 its reverse (4602114333), we get a palindrome (7936226397).

The spelling of 3334112064 in words is "three billion, three hundred thirty-four million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7884 10512 14016 15768 21024 26431 31536 42048 52862 63072 79293 105724 126144 158586 211448 237879 317172 422896 475758 634344 713637 845792 951516 1268688 1427274 1691584 1903032 1929463 2537376 2854548 3806064 3858926 5074752 5709096 5788389 7612128 7717852 11418192 11576778 15224256 15435704 17365167 22836384 23153556 30871408 34730334 45672768 46307112 52095501 61742816 69460668 92614224 104191002 123485632 138921336 185228448 208382004 277842672 370456896 416764008 555685344 833528016 1111370688 1667056032 3334112064