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144304416 = 253455673
BaseRepresentation
bin10001001100111…
…10100100100000
3101001112102110000
420212132210200
5243420220131
622152540000
73401365404
oct1046364440
9331472400
10144304416
1174502053
12403b1600
1323b86639
1415245104
15ca06ce6
hex899e920

144304416 has 60 divisors (see below), whose sum is σ = 424402902. Its totient is φ = 48100608.

The previous prime is 144304393. The next prime is 144304417. The reversal of 144304416 is 614403441.

It can be written as a sum of positive squares in only one way, i.e., 98010000 + 46294416 = 9900^2 + 6804^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 144304416.

It is not an unprimeable number, because it can be changed into a prime (144304417) 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 9 ways as a sum of consecutive naturals, for example, 25245 + ... + 30428.

Almost surely, 2144304416 is an apocalyptic number.

144304416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144304416 is an abundant number, since it is smaller than the sum of its proper divisors (280098486).

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

144304416 is an equidigital number, since it uses as much as digits as its factorization.

144304416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55695 (or 55678 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144304416 is about 12012.6773035822. The cubic root of 144304416 is about 524.5173686990.

Adding to 144304416 its reverse (614403441), we get a palindrome (758707857).

The spelling of 144304416 in words is "one hundred forty-four million, three hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 55673 111346 167019 222692 334038 445384 501057 668076 890768 1002114 1336152 1503171 1781536 2004228 2672304 3006342 4008456 4509513 5344608 6012684 8016912 9019026 12025368 16033824 18038052 24050736 36076104 48101472 72152208 144304416