Search a number
-
+
42334304 = 25412787
BaseRepresentation
bin1010000101111…
…1100001100000
32221122210202012
42201133201200
541314144204
64111212052
71022556425
oct241374140
987583665
1042334304
1121995431
1212217028
138a031ac
14589dd4c
153ab376e
hex285f860

42334304 has 36 divisors (see below), whose sum is σ = 85536612. Its totient is φ = 20624640.

The previous prime is 42334291. The next prime is 42334343. The reversal of 42334304 is 40343324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42334304.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 53399 + ... + 54185.

It is an arithmetic number, because the mean of its divisors is an integer number (2376017).

Almost surely, 242334304 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 42334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768306).

42334304 is an abundant number, since it is smaller than the sum of its proper divisors (43202308).

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

42334304 is an equidigital number, since it uses as much as digits as its factorization.

42334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 42334304 is about 6506.4816913598. The cubic root of 42334304 is about 348.5224898981.

Adding to 42334304 its reverse (40343324), we get a palindrome (82677628).

The spelling of 42334304 in words is "forty-two million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 787 1312 1574 1681 3148 3362 6296 6724 12592 13448 25184 26896 32267 53792 64534 129068 258136 516272 1032544 1322947 2645894 5291788 10583576 21167152 42334304