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3144313224 = 2332133359309
BaseRepresentation
bin1011101101101010…
…0110100110001000
322010010120122212100
42323122212212020
522414421010344
61240001313400
7140630135643
oct27332464610
98103518770
103144313224
111373979078
12739035860
133b1571b90
1421b850a5a
1513609d569
hexbb6a6988

3144313224 has 48 divisors (see below), whose sum is σ = 9170916300. Its totient is φ = 967480704.

The previous prime is 3144313223. The next prime is 3144313267. The reversal of 3144313224 is 4223134413.

3144313224 is a `hidden beast` number, since 3 + 1 + 4 + 431 + 3 + 224 = 666.

3144313224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3137120100 + 7193124 = 56010^2 + 2682^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3144313223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1678719 + ... + 1680590.

Almost surely, 23144313224 is an apocalyptic number.

It is an amenable number.

3144313224 is an abundant number, since it is smaller than the sum of its proper divisors (6026603076).

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

3144313224 is a wasteful number, since it uses less digits than its factorization.

3144313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359334 (or 3359327 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3144313224 is about 56074.1760884634. The cubic root of 3144313224 is about 1465.0145368529.

Adding to 3144313224 its reverse (4223134413), we get a palindrome (7367447637).

The spelling of 3144313224 in words is "three billion, one hundred forty-four million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3359309 6718618 10077927 13437236 20155854 26874472 30233781 40311708 43671017 60467562 80623416 87342034 120935124 131013051 174684068 241870248 262026102 349368136 393039153 524052204 786078306 1048104408 1572156612 3144313224