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12231384 = 23311107433
BaseRepresentation
bin101110101010…
…001011011000
3212000102022020
4232222023120
511112401014
61114054440
7205652004
oct56521330
925012266
1012231384
1169a4690
12411a420
1326c3409
1418a5704
1511191a9
hexbaa2d8

12231384 has 64 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3663360.

The previous prime is 12231371. The next prime is 12231389. The reversal of 12231384 is 48313221.

12231384 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231389) 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, 28032 + ... + 28464.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 212231384 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 12231384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

12231384 is an abundant number, since it is smaller than the sum of its proper divisors (21516456).

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

12231384 is a wasteful number, since it uses less digits than its factorization.

12231384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12231384 is about 3497.3395602944. The cubic root of 12231384 is about 230.4049827723.

The spelling of 12231384 in words is "twelve million, two hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 264 321 428 433 642 856 866 1177 1284 1299 1732 2354 2568 2598 3464 3531 4708 4763 5196 7062 9416 9526 10392 14124 14289 19052 28248 28578 38104 46331 57156 92662 114312 138993 185324 277986 370648 509641 555972 1019282 1111944 1528923 2038564 3057846 4077128 6115692 12231384