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3242144331 = 3223314112323
BaseRepresentation
bin1100000100111111…
…0011001001001011
322100221122222220200
43001033303021023
523114442104311
61253414223243
7143225525556
oct30117631113
98327588820
103242144331
111414119028
12765954b23
133c89063ca
1422a83969d
1513e975556
hexc13f324b

3242144331 has 48 divisors (see below), whose sum is σ = 5167798272. Its totient is φ = 1951804800.

The previous prime is 3242144329. The next prime is 3242144333. The reversal of 3242144331 is 1334412423.

3242144331 is a `hidden beast` number, since 324 + 2 + 1 + 4 + 4 + 331 = 666.

3242144331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3242144329) and next prime (3242144333).

It is not a de Polignac number, because 3242144331 - 21 = 3242144329 is a prime.

It is a super-2 number, since 2×32421443312 = 21022999726070875122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3242144295 and 3242144304.

It is not an unprimeable number, because it can be changed into a prime (3242144333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256936 + ... + 269258.

It is an arithmetic number, because the mean of its divisors is an integer number (107662464).

Almost surely, 23242144331 is an apocalyptic number.

3242144331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3242144331 is a deficient number, since it is larger than the sum of its proper divisors (1925653941).

3242144331 is a wasteful number, since it uses less digits than its factorization.

3242144331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12421 counting only the distinct ones).

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

The square root of 3242144331 is about 56939.8307953229. The cubic root of 3242144331 is about 1480.0536155096.

Adding to 3242144331 its reverse (1334412423), we get a palindrome (4576556754).

The spelling of 3242144331 in words is "three billion, two hundred forty-two million, one hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 23 31 41 69 93 123 207 279 369 713 943 1271 2139 2829 3813 6417 8487 11439 12323 29233 36969 87699 110907 263097 283429 382013 505243 850287 1146039 1515729 2550861 3438117 4547187 8786299 11620589 15662533 26358897 34861767 46987599 79076691 104585301 140962797 360238259 1080714777 3242144331