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42322434 = 23711101907
BaseRepresentation
bin1010000101110…
…0101000000010
32221122012110120
42201130220002
541313304214
64111041110
71022510010
oct241345002
987565416
1042322434
1121987520
1212210196
1389ca97b
1458998b0
153aaeea9
hex285ca02

42322434 has 64 divisors (see below), whose sum is σ = 106693632. Its totient is φ = 10872000.

The previous prime is 42322403. The next prime is 42322439. The reversal of 42322434 is 43422324.

It is not an unprimeable number, because it can be changed into a prime (42322439) 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, 46209 + ... + 47115.

It is an arithmetic number, because the mean of its divisors is an integer number (1667088).

Almost surely, 242322434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53346816).

42322434 is an abundant number, since it is smaller than the sum of its proper divisors (64371198).

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

42322434 is a wasteful number, since it uses less digits than its factorization.

42322434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its digits is 4608, while the sum is 24.

The square root of 42322434 is about 6505.5694600857. The cubic root of 42322434 is about 348.4899130965.

Adding to 42322434 its reverse (43422324), we get a palindrome (85744758).

It can be divided in two parts, 4232 and 2434, that added together give a palindrome (6666).

The spelling of 42322434 in words is "forty-two million, three hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 907 1111 1414 1814 2121 2222 2721 3333 4242 5442 6349 6666 7777 9977 12698 15554 19047 19954 23331 29931 38094 46662 59862 69839 91607 139678 183214 209517 274821 419034 549642 641249 1007677 1282498 1923747 2015354 3023031 3847494 6046062 7053739 14107478 21161217 42322434