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12311808 = 283172341
BaseRepresentation
bin101110111101…
…110100000000
3212011111121220
4232331310000
511122434213
61115515040
7206435325
oct56756400
925144556
1012311808
116a4a053
124158a80
132720bc2
1418c6b4c
151132e23
hexbbdd00

12311808 has 144 divisors (see below), whose sum is σ = 37086336. Its totient is φ = 3604480.

The previous prime is 12311797. The next prime is 12311809. The reversal of 12311808 is 80811321.

12311808 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 (24).

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311809) 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, 300268 + ... + 300308.

It is an arithmetic number, because the mean of its divisors is an integer number (257544).

Almost surely, 212311808 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 12311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168).

12311808 is an abundant number, since it is smaller than the sum of its proper divisors (24774528).

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

12311808 is a wasteful number, since it uses less digits than its factorization.

12311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 12311808 is about 3508.8186046018. The cubic root of 12311808 is about 230.9088675581.

The spelling of 12311808 in words is "twelve million, three hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 41 46 48 51 64 68 69 82 92 96 102 123 128 136 138 164 184 192 204 246 256 272 276 328 368 384 391 408 492 544 552 656 697 736 768 782 816 943 984 1088 1104 1173 1312 1394 1472 1564 1632 1886 1968 2091 2176 2208 2346 2624 2788 2829 2944 3128 3264 3772 3936 4182 4352 4416 4692 5248 5576 5658 5888 6256 6528 7544 7872 8364 8832 9384 10496 11152 11316 12512 13056 15088 15744 16031 16728 17664 18768 22304 22632 25024 30176 31488 32062 33456 37536 44608 45264 48093 50048 60352 64124 66912 75072 89216 90528 96186 100096 120704 128248 133824 150144 178432 181056 192372 241408 256496 267648 300288 362112 384744 512992 535296 724224 769488 1025984 1538976 2051968 3077952 4103936 6155904 12311808