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12963384 = 2332717289
BaseRepresentation
bin110001011100…
…111000111000
3220101121102100
4301130320320
511304312014
61141503400
7215121060
oct61347070
926347370
1012963384
117354645
124411b60
1328bb655
141a163a0
151211009
hexc5ce38

12963384 has 144 divisors (see below), whose sum is σ = 43102800. Its totient is φ = 3446784.

The previous prime is 12963343. The next prime is 12963407. The reversal of 12963384 is 48336921.

12963384 is a `hidden beast` number, since 12 + 9 + 633 + 8 + 4 = 666.

12963384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145612 + ... + 145700.

It is an arithmetic number, because the mean of its divisors is an integer number (299325).

Almost surely, 212963384 is an apocalyptic number.

12963384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12963384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21551400).

12963384 is an abundant number, since it is smaller than the sum of its proper divisors (30139416).

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

12963384 is a wasteful number, since it uses less digits than its factorization.

12963384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12963384 is about 3600.4699693234. The cubic root of 12963384 is about 234.9125009998.

The spelling of 12963384 in words is "twelve million, nine hundred sixty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 89 102 119 126 136 153 168 178 204 238 252 267 289 306 356 357 408 476 504 534 578 612 623 712 714 801 867 952 1068 1071 1156 1224 1246 1428 1513 1602 1734 1869 2023 2136 2142 2312 2492 2601 2856 3026 3204 3468 3738 4046 4284 4539 4984 5202 5607 6052 6069 6408 6936 7476 8092 8568 9078 10404 10591 11214 12104 12138 13617 14952 16184 18156 18207 20808 21182 22428 24276 25721 27234 31773 36312 36414 42364 44856 48552 51442 54468 63546 72828 77163 84728 95319 102884 108936 127092 145656 154326 180047 190638 205768 231489 254184 308652 360094 381276 462978 540141 617304 720188 762552 925956 1080282 1440376 1620423 1851912 2160564 3240846 4321128 6481692 12963384