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3300212484 = 223437614513
BaseRepresentation
bin1100010010110101…
…0011111100000100
322111222221011110000
43010231103330010
523224323244414
61303251001300
7144532225512
oct30455237404
98458834400
103300212484
11144397a538
12781299230
13407957c6a
142344334b2
15144ae5b09
hexc4b53f04

3300212484 has 120 divisors (see below), whose sum is σ = 9007831448. Its totient is φ = 1052559360.

The previous prime is 3300212437. The next prime is 3300212491. The reversal of 3300212484 is 4842120033.

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 3286728900 = 3672^2 + 57330^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 729012 + ... + 733524.

Almost surely, 23300212484 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 3300212484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503915724).

3300212484 is an abundant number, since it is smaller than the sum of its proper divisors (5707618964).

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

3300212484 is a wasteful number, since it uses less digits than its factorization.

3300212484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3300212484 is about 57447.4758714428. The cubic root of 3300212484 is about 1488.8375065467.

The spelling of 3300212484 in words is "three billion, three hundred million, two hundred twelve thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 61 74 81 108 111 122 148 162 183 222 244 324 333 366 444 549 666 732 999 1098 1332 1647 1998 2196 2257 2997 3294 3996 4513 4514 4941 5994 6588 6771 9026 9028 9882 11988 13539 13542 18052 19764 20313 27078 27084 40617 40626 54156 60939 81234 81252 121851 121878 162468 166981 182817 243702 243756 275293 333962 365553 365634 487404 500943 550586 667924 731106 731268 825879 1001886 1101172 1462212 1502829 1651758 2003772 2477637 3005658 3303516 4508487 4955274 6011316 7432911 9016974 9910548 10185841 13525461 14865822 18033948 20371682 22298733 27050922 29731644 30557523 40743364 44597466 54101844 61115046 89194932 91672569 122230092 183345138 275017707 366690276 550035414 825053121 1100070828 1650106242 3300212484