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42344124 = 22310334259
BaseRepresentation
bin1010000110000…
…1111010111100
32221200022012220
42201201322330
541320002444
64111325340
71022630154
oct241417274
987608186
1042344124
11219a1849
1212220850
138a077c4
1458a3764
153ab6619
hex2861ebc

42344124 has 24 divisors (see below), whose sum is σ = 99765120. Its totient is φ = 13977264.

The previous prime is 42344119. The next prime is 42344129. The reversal of 42344124 is 42144324.

It is a happy number.

42344124 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 (42344119) and next prime (42344129).

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

It is a junction number, because it is equal to n+sod(n) for n = 42344094 and 42344103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15894 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (4156880).

Almost surely, 242344124 is an apocalyptic number.

It is an amenable number.

42344124 is an abundant number, since it is smaller than the sum of its proper divisors (57420996).

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

42344124 is a wasteful number, since it uses less digits than its factorization.

42344124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34369 (or 34367 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42344124 is about 6507.2362797120. The cubic root of 42344124 is about 348.5494359437.

Adding to 42344124 its reverse (42144324), we get a palindrome (84488448).

The spelling of 42344124 in words is "forty-two million, three hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 103 206 309 412 618 1236 34259 68518 102777 137036 205554 411108 3528677 7057354 10586031 14114708 21172062 42344124