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42362034 = 23111397509
BaseRepresentation
bin1010000110011…
…0010010110010
32221201012210020
42201212102302
541321041114
64111544310
71023033321
oct241462262
987635706
1042362034
1121a04250
121222b096
138a129c0
1458aa0b8
153abbaa9
hex28664b2

42362034 has 64 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 11704320.

The previous prime is 42362017. The next prime is 42362051. The reversal of 42362034 is 43026324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42362017) and next prime (42362051).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42361995 and 42362013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 82972 + ... + 83480.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 242362034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42362034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

42362034 is an abundant number, since it is smaller than the sum of its proper divisors (58397646).

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

42362034 is a wasteful number, since it uses less digits than its factorization.

42362034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 42362034 is about 6508.6122944910. The cubic root of 42362034 is about 348.5985701949.

Adding to 42362034 its reverse (43026324), we get a palindrome (85388358).

The spelling of 42362034 in words is "forty-two million, three hundred sixty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 143 194 286 291 429 509 582 858 1018 1067 1261 1527 2134 2522 3054 3201 3783 5599 6402 6617 7566 11198 13234 13871 16797 19851 27742 33594 39702 41613 49373 72787 83226 98746 145574 148119 218361 296238 436722 543103 641849 1086206 1283698 1629309 1925547 3258618 3851094 7060339 14120678 21181017 42362034