Search a number
-
+
431340030 = 2325112391823
BaseRepresentation
bin11001101101011…
…011100111111110
31010001122100021200
4121231123213332
51340410340110
6110445040330
713455221052
oct3155334776
91101570250
10431340030
11201531170
121005560a6
136b4954b4
1441401c62
1527d046c0
hex19b5b9fe

431340030 has 96 divisors (see below), whose sum is σ = 1229230080. Its totient is φ = 104072640.

The previous prime is 431339977. The next prime is 431340047. The reversal of 431340030 is 30043134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 431339985 and 431340012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235699 + ... + 237521.

It is an arithmetic number, because the mean of its divisors is an integer number (12804480).

Almost surely, 2431340030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614615040).

431340030 is an abundant number, since it is smaller than the sum of its proper divisors (797890050).

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

431340030 is a wasteful number, since it uses less digits than its factorization.

431340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 431340030 is about 20768.7272118443. The cubic root of 431340030 is about 755.5674753582.

Adding to 431340030 its reverse (30043134), we get a palindrome (461383164).

The spelling of 431340030 in words is "four hundred thirty-one million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 239 330 478 495 717 990 1195 1434 1823 2151 2390 2629 3585 3646 4302 5258 5469 7170 7887 9115 10755 10938 13145 15774 16407 18230 20053 21510 23661 26290 27345 32814 39435 40106 47322 54690 60159 78870 82035 100265 118305 120318 164070 180477 200530 236610 300795 360954 435697 601590 871394 902385 1307091 1804770 2178485 2614182 3921273 4356970 4792667 6535455 7842546 9585334 13070910 14378001 19606365 23963335 28756002 39212730 43134003 47926670 71890005 86268006 143780010 215670015 431340030