Search a number
-
+
42334068 = 22373753257
BaseRepresentation
bin1010000101111…
…1011101110100
32221122210102110
42201133131310
541314142233
64111211020
71022555640
oct241373564
987583373
1042334068
1121995237
1212216a70
138a0305a
14589dc20
153ab3663
hex285f774

42334068 has 96 divisors (see below), whose sum is σ = 118589184. Its totient is φ = 11501568.

The previous prime is 42334057. The next prime is 42334069. The reversal of 42334068 is 86043324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164596 + ... + 164852.

It is an arithmetic number, because the mean of its divisors is an integer number (1235304).

Almost surely, 242334068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59294592).

42334068 is an abundant number, since it is smaller than the sum of its proper divisors (76255116).

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

42334068 is a wasteful number, since it uses less digits than its factorization.

42334068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 42334068 is about 6506.4635555730. The cubic root of 42334068 is about 348.5218422637.

The spelling of 42334068 in words is "forty-two million, three hundred thirty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 53 74 84 106 111 148 159 212 222 257 259 318 371 444 514 518 636 742 771 777 1028 1036 1113 1484 1542 1554 1799 1961 2226 3084 3108 3598 3922 4452 5397 5883 7196 7844 9509 10794 11766 13621 13727 19018 21588 23532 27242 27454 28527 38036 40863 41181 54484 54908 57054 66563 81726 82362 95347 114108 133126 163452 164724 190694 199689 266252 286041 381388 399378 503977 572082 798756 1007954 1144164 1511931 2015908 3023862 3527839 6047724 7055678 10583517 14111356 21167034 42334068