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422400324 = 223192281347
BaseRepresentation
bin11001001011010…
…101000101000100
31002102211011022110
4121023111011010
51331113302244
6105525301020
713316225553
oct3113250504
91072734273
10422400324
111a7485685
12b9564770
1369685428
1440155d9a
152713a9b9
hex192d5144

422400324 has 72 divisors (see below), whose sum is σ = 1046914848. Its totient is φ = 132531840.

The previous prime is 422400323. The next prime is 422400331. The reversal of 422400324 is 423004224.

It is a self number, because there is not a number n which added to its sum of digits gives 422400324.

It is not an unprimeable number, because it can be changed into a prime (422400323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217119 + ... + 1217465.

It is an arithmetic number, because the mean of its divisors is an integer number (14540484).

Almost surely, 2422400324 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 422400324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523457424).

422400324 is an abundant number, since it is smaller than the sum of its proper divisors (624514524).

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

422400324 is a wasteful number, since it uses less digits than its factorization.

422400324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 422400324 is about 20552.3800081645. The cubic root of 422400324 is about 750.3111739876.

Adding to 422400324 its reverse (423004224), we get a palindrome (845404548).

The spelling of 422400324 in words is "four hundred twenty-two million, four hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 281 347 361 562 694 722 843 1041 1083 1124 1388 1444 1686 2082 2166 3372 4164 4332 5339 6593 10678 13186 16017 19779 21356 26372 32034 39558 64068 79116 97507 101441 125267 195014 202882 250534 292521 304323 375801 390028 405764 501068 585042 608646 751602 1170084 1217292 1503204 1852633 3705266 5557899 7410532 11115798 22231596 35200027 70400054 105600081 140800108 211200162 422400324