Search a number
-
+
424442331 = 32617110889
BaseRepresentation
bin11001010011000…
…111100111011011
31002120122220102100
4121103013213123
51332124123311
6110041134443
713342462125
oct3123074733
91076586370
10424442331
111a864a895
12ba18a423
1369c1ba11
1440528215
15273e0a56
hex194c79db

424442331 has 24 divisors (see below), whose sum is σ = 631968480. Its totient is φ = 274377600.

The previous prime is 424442309. The next prime is 424442339. The reversal of 424442331 is 133244424.

It is a happy number.

424442331 is a `hidden beast` number, since 424 + 4 + 4 + 233 + 1 = 666.

It is not a de Polignac number, because 424442331 - 26 = 424442267 is a prime.

It is a super-2 number, since 2×4244423312 = 360302584689427122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424442295 and 424442304.

It is not an unprimeable number, because it can be changed into a prime (424442339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33535 + ... + 44423.

It is an arithmetic number, because the mean of its divisors is an integer number (26332020).

Almost surely, 2424442331 is an apocalyptic number.

424442331 is a deficient number, since it is larger than the sum of its proper divisors (207526149).

424442331 is a wasteful number, since it uses less digits than its factorization.

424442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027 (or 11024 counting only the distinct ones).

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

The square root of 424442331 is about 20601.9982283273. The cubic root of 424442331 is about 751.5183055901.

Adding to 424442331 its reverse (133244424), we get a palindrome (557686755).

The spelling of 424442331 in words is "four hundred twenty-four million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 61 71 183 213 549 639 4331 10889 12993 32667 38979 98001 664229 773119 1992687 2319357 5978061 6958071 47160259 141480777 424442331