Search a number
-
+
12303312 = 243725231
BaseRepresentation
bin101110111011…
…101111010000
3212011001222020
4232323233100
511122201222
61115411440
7206401500
oct56735720
925131866
1012303312
116a4372a
124153b80
13271a088
1418c3a00
15113065c
hexbbbbd0

12303312 has 60 divisors (see below), whose sum is σ = 36979776. Its totient is φ = 3514560.

The previous prime is 12303301. The next prime is 12303323. The reversal of 12303312 is 21330321.

It is an interprime number because it is at equal distance from previous prime (12303301) and next prime (12303323).

It is a junction number, because it is equal to n+sod(n) for n = 12303291 and 12303300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 4967.

Almost surely, 212303312 is an apocalyptic number.

12303312 is a gapful number since it is divisible by the number (12) 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 12303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489888).

12303312 is an abundant number, since it is smaller than the sum of its proper divisors (24676464).

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

12303312 is a wasteful number, since it uses less digits than its factorization.

12303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12303312 is about 3507.6077317739. The cubic root of 12303312 is about 230.8557409669.

Adding to 12303312 its reverse (21330321), we get a palindrome (33633633).

The spelling of 12303312 in words is "twelve million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5231 10462 15693 20924 31386 36617 41848 62772 73234 83696 109851 125544 146468 219702 251088 256319 292936 439404 512638 585872 768957 878808 1025276 1537914 1757616 2050552 3075828 4101104 6151656 12303312