Search a number
-
+
144340224 = 283726849
BaseRepresentation
bin10001001101001…
…11010100000000
3101001121020120020
420212213110000
5243422341344
622153413440
73401604660
oct1046472400
9331536506
10144340224
1174526a46
124040a280
1323b99a22
14152541a0
15ca12719
hex89a7500

144340224 has 72 divisors (see below), whose sum is σ = 439051200. Its totient is φ = 41238528.

The previous prime is 144340223. The next prime is 144340327. The reversal of 144340224 is 422043441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144340194 and 144340203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144340223) 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, 8049 + ... + 18800.

Almost surely, 2144340224 is an apocalyptic number.

144340224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144340224 is an abundant number, since it is smaller than the sum of its proper divisors (294710976).

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

144340224 is an equidigital number, since it uses as much as digits as its factorization.

144340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26875 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144340224 is about 12014.1676365864. The cubic root of 144340224 is about 524.5607500571.

Adding to 144340224 its reverse (422043441), we get a palindrome (566383665).

The spelling of 144340224 in words is "one hundred forty-four million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 26849 53698 80547 107396 161094 187943 214792 322188 375886 429584 563829 644376 751772 859168 1127658 1288752 1503544 1718336 2255316 2577504 3007088 3436672 4510632 5155008 6014176 6873344 9021264 10310016 12028352 18042528 20620032 24056704 36085056 48113408 72170112 144340224