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424104360 = 233523374153
BaseRepresentation
bin11001010001110…
…101000110101000
31002120000201210220
4121101311012220
51332032314420
6110030010040
713336553601
oct3121650650
91076021726
10424104360
111a8439979
12ba046920
1369b30c34
144047ada8
1527375840
hex194751a8

424104360 has 128 divisors (see below), whose sum is σ = 1363841280. Its totient is φ = 105228288.

The previous prime is 424104347. The next prime is 424104367. The reversal of 424104360 is 63401424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424104360.

It is not an unprimeable number, because it can be changed into a prime (424104367) 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 31 ways as a sum of consecutive naturals, for example, 100044 + ... + 104196.

It is an arithmetic number, because the mean of its divisors is an integer number (10655010).

Almost surely, 2424104360 is an apocalyptic number.

424104360 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 424104360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681920640).

424104360 is an abundant number, since it is smaller than the sum of its proper divisors (939736920).

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

424104360 is a wasteful number, since it uses less digits than its factorization.

424104360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 424104360 is about 20593.7942108782. The cubic root of 424104360 is about 751.3187819486.

Adding to 424104360 its reverse (63401424), we get a palindrome (487505784).

The spelling of 424104360 in words is "four hundred twenty-four million, one hundred four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4153 4255 4440 5106 6808 8306 8510 10212 12459 12765 16612 17020 20424 20765 24918 25530 33224 34040 41530 49836 51060 62295 83060 95519 99672 102120 124590 153661 166120 191038 249180 286557 307322 382076 460983 477595 498360 573114 614644 764152 768305 921966 955190 1146228 1229288 1432785 1536610 1843932 1910380 2292456 2304915 2865570 3073220 3534203 3687864 3820760 4609830 5731140 6146440 7068406 9219660 10602609 11462280 14136812 17671015 18439320 21205218 28273624 35342030 42410436 53013045 70684060 84820872 106026090 141368120 212052180 424104360