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12144336 = 2431132239
BaseRepresentation
bin101110010100…
…111011010000
3211211222220020
4232110323100
511102104321
61112143440
7205140141
oct56247320
924758806
1012144336
116945246
124097b80
1326928c9
141881ac8
1510ed4c6
hexb94ed0

12144336 has 40 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 4010496.

The previous prime is 12144331. The next prime is 12144347. The reversal of 12144336 is 63344121.

12144336 is digitally balanced in base 2 and base 4, because in such bases 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 (12144331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4305 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 212144336 is an apocalyptic number.

12144336 is a gapful number since it is divisible by the number (16) 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 12144336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

12144336 is an abundant number, since it is smaller than the sum of its proper divisors (19520304).

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

12144336 is a wasteful number, since it uses less digits than its factorization.

12144336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 12144336 is about 3484.8724510375. The cubic root of 12144336 is about 229.8571009012.

Adding to 12144336 its reverse (63344121), we get a palindrome (75488457).

The spelling of 12144336 in words is "twelve million, one hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2239 2712 4478 5424 6717 8956 13434 17912 26868 35824 53736 107472 253007 506014 759021 1012028 1518042 2024056 3036084 4048112 6072168 12144336