Search a number
-
+
42344324 = 22112114561
BaseRepresentation
bin1010000110000…
…1111110000100
32221200022111022
42201201332010
541320004244
64111330312
71022630561
oct241417604
987608438
1042344324
11219a1a10
1212220998
138a07919
1458a3868
153ab66ee
hex2861f84

42344324 has 24 divisors (see below), whose sum is σ = 81240096. Its totient is φ = 19152000.

The previous prime is 42344273. The next prime is 42344327.

42344324 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42344293 and 42344302.

It is not an unprimeable number, because it can be changed into a prime (42344327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7004 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (3385004).

Almost surely, 242344324 is an apocalyptic number.

42344324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42344324 is a deficient number, since it is larger than the sum of its proper divisors (38895772).

42344324 is a wasteful number, since it uses less digits than its factorization.

42344324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4785 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 42344324 is about 6507.2516472010. The cubic root of 42344324 is about 348.5499846997.

It can be divided in two parts, 4234 and 4324, that added together give a palindrome (8558).

The spelling of 42344324 in words is "forty-two million, three hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 211 422 844 2321 4561 4642 9122 9284 18244 50171 100342 200684 962371 1924742 3849484 10586081 21172162 42344324