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324413424 = 2434534723
BaseRepresentation
bin10011010101100…
…010011111110000
3211121102220120000
4103111202133300
51131022212144
652105150000
711016316506
oct2325423760
9747386500
10324413424
11157139675
129078b300
135229800a
143112a676
151d732769
hex135627f0

324413424 has 100 divisors (see below), whose sum is σ = 956865096. Its totient is φ = 106075008.

The previous prime is 324413417. The next prime is 324413437. The reversal of 324413424 is 424314423.

It is a happy number.

324413424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66327 + ... + 71049.

Almost surely, 2324413424 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 324413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478432548).

324413424 is an abundant number, since it is smaller than the sum of its proper divisors (632451672).

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

324413424 is a wasteful number, since it uses less digits than its factorization.

324413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4781 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 324413424 is about 18011.4803389394. The cubic root of 324413424 is about 687.1205524416.

Adding to 324413424 its reverse (424314423), we get a palindrome (748727847).

Subtracting 324413424 from its reverse (424314423), we obtain a palindrome (99900999).

The spelling of 324413424 in words is "three hundred twenty-four million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 4723 5724 7632 8586 9446 11448 14169 17172 18892 22896 28338 34344 37784 42507 56676 68688 75568 85014 113352 127521 170028 226704 250319 255042 340056 382563 500638 510084 680112 750957 765126 1001276 1020168 1501914 1530252 2002552 2040336 2252871 3003828 3060504 4005104 4505742 6007656 6121008 6758613 9011484 12015312 13517226 18022968 20275839 27034452 36045936 40551678 54068904 81103356 108137808 162206712 324413424