Search a number
-
+
3144430224 = 2432132129209
BaseRepresentation
bin1011101101101100…
…0011001010010000
322010010210121100200
42323123003022100
522414433231344
61240004015200
7140631134025
oct27333031220
98103717320
103144430224
111373a48a71
12739091500
133b15b3200
1421b88154c
151360c3069
hexbb6c3290

3144430224 has 90 divisors (see below), whose sum is σ = 9529108290. Its totient is φ = 967509504.

The previous prime is 3144430199. The next prime is 3144430249. The reversal of 3144430224 is 4220344413.

It is a happy number.

3144430224 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 430 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (3144430199) and next prime (3144430249).

It can be written as a sum of positive squares in 3 ways, for example, as 306950400 + 2837479824 = 17520^2 + 53268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40269 + ... + 88940.

It is an arithmetic number, because the mean of its divisors is an integer number (105878981).

Almost surely, 23144430224 is an apocalyptic number.

It is an amenable number.

3144430224 is an abundant number, since it is smaller than the sum of its proper divisors (6384678066).

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

3144430224 is a wasteful number, since it uses less digits than its factorization.

3144430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129249 (or 129227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3144430224 is about 56075.2193397404. The cubic root of 3144430224 is about 1465.0327077074.

Adding to 3144430224 its reverse (4220344413), we get a palindrome (7364774637).

The spelling of 3144430224 in words is "three billion, one hundred forty-four million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 129209 258418 387627 516836 775254 1033672 1162881 1550508 1679717 2067344 2325762 3101016 3359434 4651524 5039151 6202032 6718868 9303048 10078302 13437736 15117453 18606096 20156604 21836321 26875472 30234906 40313208 43672642 60469812 65508963 80626416 87345284 120939624 131017926 174690568 196526889 241879248 262035852 349381136 393053778 524071704 786107556 1048143408 1572215112 3144430224