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13844224 = 28411319
BaseRepresentation
bin110100110011…
…111100000000
3222001100201001
4310303330000
512021003344
61212421344
7225450112
oct64637400
928040631
1013844224
1178a6409
124777854
132b39564
141ba53b2
151336ed4
hexd33f00

13844224 has 36 divisors (see below), whose sum is σ = 28329840. Its totient is φ = 6748160.

The previous prime is 13844221. The next prime is 13844227. The reversal of 13844224 is 42244831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13844221) and next prime (13844227).

It is a junction number, because it is equal to n+sod(n) for n = 13844192 and 13844201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13844221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9837 + ... + 11155.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 213844224 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 13844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164920).

13844224 is an abundant number, since it is smaller than the sum of its proper divisors (14485616).

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

13844224 is an equidigital number, since it uses as much as digits as its factorization.

13844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1362 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 13844224 is about 3720.7827133548. The cubic root of 13844224 is about 240.1169800098.

The spelling of 13844224 in words is "thirteen million, eight hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 1319 2624 2638 5248 5276 10496 10552 21104 42208 54079 84416 108158 168832 216316 337664 432632 865264 1730528 3461056 6922112 13844224