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486353340 = 22325111714449
BaseRepresentation
bin11100111111010…
…010100110111100
31020220011022100200
4130333102212330
51444001301330
6120132123500
715023635524
oct3477224674
91226138320
10486353340
1122a596510
12116a66590
13799b7755
1448842684
152ca6ea60
hex1cfd29bc

486353340 has 144 divisors (see below), whose sum is σ = 1704175200. Its totient is φ = 110960640.

The previous prime is 486353339. The next prime is 486353347. The reversal of 486353340 is 43353684.

486353340 is a `hidden beast` number, since 4 + 86 + 3 + 533 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 486353295 and 486353304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486353347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26436 + ... + 40884.

It is an arithmetic number, because the mean of its divisors is an integer number (11834550).

Almost surely, 2486353340 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 486353340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852087600).

486353340 is an abundant number, since it is smaller than the sum of its proper divisors (1217821860).

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

486353340 is a wasteful number, since it uses less digits than its factorization.

486353340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492 (or 14487 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 486353340 is about 22053.4201429166. The cubic root of 486353340 is about 786.4129097112.

The spelling of 486353340 in words is "four hundred eighty-six million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 14449 16830 28898 33660 43347 57796 72245 86694 130041 144490 158939 173388 216735 245633 260082 288980 317878 433470 476817 491266 520164 635756 650205 736899 794695 866940 953634 982532 1228165 1300410 1430451 1473798 1589390 1907268 2210697 2384085 2456330 2600820 2701963 2860902 2947596 3178780 3684495 4421394 4768170 4912660 5403926 5721804 7152255 7368990 8105889 8842788 9536340 10807852 11053485 13509815 14304510 14737980 16211778 22106970 24317667 27019630 28609020 32423556 40529445 44213940 48635334 54039260 81058890 97270668 121588335 162117780 243176670 486353340