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42334344 = 233213311459
BaseRepresentation
bin1010000101111…
…1100010001000
32221122210210200
42201133202020
541314144334
64111212200
71022556513
oct241374210
987583720
1042334344
1121995468
1212217060
138a03210
14589dd7a
153ab3799
hex285f888

42334344 has 96 divisors (see below), whose sum is σ = 127545600. Its totient is φ = 12597120.

The previous prime is 42334343. The next prime is 42334351. The reversal of 42334344 is 44343324.

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

It is not an unprimeable number, because it can be changed into a prime (42334343) 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 23 ways as a sum of consecutive naturals, for example, 28287 + ... + 29745.

It is an arithmetic number, because the mean of its divisors is an integer number (1328600).

Almost surely, 242334344 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 42334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63772800).

42334344 is an abundant number, since it is smaller than the sum of its proper divisors (85211256).

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

42334344 is a wasteful number, since it uses less digits than its factorization.

42334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1508 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 42334344 is about 6506.4847652169. The cubic root of 42334344 is about 348.5225996664.

Adding to 42334344 its reverse (44343324), we get a palindrome (86677668).

The spelling of 42334344 in words is "forty-two million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1459 1612 2232 2418 2918 3224 3627 4377 4836 5836 7254 8754 9672 11672 13131 14508 17508 18967 26262 29016 35016 37934 45229 52524 56901 75868 90458 105048 113802 135687 151736 170703 180916 227604 271374 341406 361832 407061 455208 542748 587977 682812 814122 1085496 1175954 1365624 1628244 1763931 2351908 3256488 3527862 4703816 5291793 7055724 10583586 14111448 21167172 42334344