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144384256 = 287512
BaseRepresentation
bin10001001101100…
…10000100000000
3101001200110222001
420212302010000
5243430244011
622154353344
73402150232
oct1046620400
9331613861
10144384256
1174557035
124042b854
1323bb3a93
1415266252
15ca207c1
hex89b2100

144384256 has 27 divisors (see below), whose sum is σ = 288588783. Its totient is φ = 72096000.

The previous prime is 144384241. The next prime is 144384257. The reversal of 144384256 is 652483441.

The square root of 144384256 is 12016.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144384257) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 191881 + ... + 192631.

Almost surely, 2144384256 is an apocalyptic number.

144384256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144384256 is the 12016-th square number.

It is an amenable number.

144384256 is a deficient number, since it is larger than the sum of its proper divisors (144204527).

144384256 is an frugal number, since it uses more digits than its factorization.

144384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 753 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The cubic root of 144384256 is about 524.6140849488.

It can be divided in two parts, 144 and 384256, that added together give a square (384400 = 6202).

The spelling of 144384256 in words is "one hundred forty-four million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 751 1502 3004 6008 12016 24032 48064 96128 192256 564001 1128002 2256004 4512008 9024016 18048032 36096064 72192128 144384256