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422341040 = 245111273779
BaseRepresentation
bin11001001011000…
…110100110110000
31002102201010222202
4121023012212300
51331104403130
6105524122332
713315560662
oct3113064660
91072633882
10422341040
111a7445090
12b95363a8
1369664454
144013c532
1527128145
hex192c69b0

422341040 has 80 divisors (see below), whose sum is σ = 1079930880. Its totient is φ = 152328960.

The previous prime is 422341039. The next prime is 422341043. The reversal of 422341040 is 40143224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (422341043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109871 + ... + 113649.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2422341040 is an apocalyptic number.

422341040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

422341040 is an abundant number, since it is smaller than the sum of its proper divisors (657589840).

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

422341040 is a wasteful number, since it uses less digits than its factorization.

422341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 422341040 is about 20550.9376915021. The cubic root of 422341040 is about 750.2760702197.

Adding to 422341040 its reverse (40143224), we get a palindrome (462484264).

The spelling of 422341040 in words is "four hundred twenty-two million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 3779 5080 5588 6985 7558 10160 11176 13970 15116 18895 22352 27940 30232 37790 41569 55880 60464 75580 83138 111760 151160 166276 207845 302320 332552 415690 479933 665104 831380 959866 1662760 1919732 2399665 3325520 3839464 4799330 5279263 7678928 9598660 10558526 19197320 21117052 26396315 38394640 42234104 52792630 84468208 105585260 211170520 422341040