Search a number
-
+
424434318 = 237112359677
BaseRepresentation
bin11001010011000…
…101101010001110
31002120122111102120
4121103011222032
51332123344233
6110041033410
713342426560
oct3123055216
91076574376
10424434318
111a8644870
12ba185866
1369c18189
1440525330
15273dd4b3
hex194c5a8e

424434318 has 128 divisors (see below), whose sum is σ = 1124720640. Its totient is φ = 103509120.

The previous prime is 424434287. The next prime is 424434319. The reversal of 424434318 is 813434424.

It is a super-2 number, since 2×4244343182 = 360288980592250248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424434319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626596 + ... + 627272.

It is an arithmetic number, because the mean of its divisors is an integer number (8786880).

Almost surely, 2424434318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424434318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562360320).

424434318 is an abundant number, since it is smaller than the sum of its proper divisors (700286322).

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

424434318 is a wasteful number, since it uses less digits than its factorization.

424434318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782.

The product of its digits is 36864, while the sum is 33.

The square root of 424434318 is about 20601.8037559821. The cubic root of 424434318 is about 751.5135762832.

The spelling of 424434318 in words is "four hundred twenty-four million, four hundred thirty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 59 66 69 77 118 138 154 161 177 231 253 322 354 413 462 483 506 649 677 759 826 966 1239 1298 1354 1357 1518 1771 1947 2031 2478 2714 3542 3894 4062 4071 4543 4739 5313 7447 8142 9086 9478 9499 10626 13629 14217 14894 14927 15571 18998 22341 27258 28434 28497 29854 31142 39943 44682 44781 46713 52129 56994 79886 89562 93426 104258 104489 108997 119829 156387 171281 208978 217994 239658 279601 312774 313467 326991 342562 439373 513843 559202 626934 653982 838803 878746 918689 1027686 1198967 1318119 1677606 1837378 2397934 2636238 2756067 3075611 3596901 5512134 6151222 6430823 7193802 9226833 10105579 12861646 18453666 19292469 20211158 30316737 38584938 60633474 70739053 141478106 212217159 424434318