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12441384 = 2333239241
BaseRepresentation
bin101111011101…
…011100101000
3212102002101000
4233131130220
511141111014
61122355000
7210515154
oct57353450
925362330
1012441384
11702843a
1241bba60
132767b87
14191c064
15115b509
hexbdd728

12441384 has 64 divisors (see below), whose sum is σ = 34848000. Its totient is φ = 4112640.

The previous prime is 12441383. The next prime is 12441419. The reversal of 12441384 is 48314421.

It is a super-3 number, since 3×124413843 (a number of 22 digits) contains 333 as substring.

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

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 (12441383) 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, 51504 + ... + 51744.

It is an arithmetic number, because the mean of its divisors is an integer number (544500).

Almost surely, 212441384 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 12441384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424000).

12441384 is an abundant number, since it is smaller than the sum of its proper divisors (22406616).

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

12441384 is a wasteful number, since it uses less digits than its factorization.

12441384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12441384 is about 3527.2346108531. The cubic root of 12441384 is about 231.7161113401.

It can be divided in two parts, 1244 and 1384, that added together give a triangular number (2628 = T72).

The spelling of 12441384 in words is "twelve million, four hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 241 478 482 717 723 956 964 1434 1446 1912 1928 2151 2169 2868 2892 4302 4338 5736 5784 6453 6507 8604 8676 12906 13014 17208 17352 25812 26028 51624 52056 57599 115198 172797 230396 345594 460792 518391 691188 1036782 1382376 1555173 2073564 3110346 4147128 6220692 12441384