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413234130 = 235173761359
BaseRepresentation
bin11000101000010…
…111001111010010
31001210120110122210
4120220113033102
51321241443010
6105001012550
713145301141
oct3050271722
91053513583
10413234130
111a2294a11
12b6484156
13677c624a
143cc4b758
1526429b20
hex18a173d2

413234130 has 128 divisors (see below), whose sum is σ = 1099215360. Its totient is φ = 98979840.

The previous prime is 413234119. The next prime is 413234161. The reversal of 413234130 is 31432314.

413234130 = T6964 + T6965 + ... + T6980.

It is a junction number, because it is equal to n+sod(n) for n = 413234097 and 413234106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150891 + ... + 1151249.

It is an arithmetic number, because the mean of its divisors is an integer number (8587620).

Almost surely, 2413234130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413234130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549607680).

413234130 is an abundant number, since it is smaller than the sum of its proper divisors (685981230).

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

413234130 is a wasteful number, since it uses less digits than its factorization.

413234130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413234130 is about 20328.1610088075. The cubic root of 413234130 is about 744.8441215546.

Adding to 413234130 its reverse (31432314), we get a palindrome (444666444).

The spelling of 413234130 in words is "four hundred thirteen million, two hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 61 74 85 102 111 122 170 183 185 222 255 305 359 366 370 510 555 610 629 718 915 1037 1077 1110 1258 1795 1830 1887 2074 2154 2257 3111 3145 3590 3774 4514 5185 5385 6103 6222 6290 6771 9435 10370 10770 11285 12206 13283 13542 15555 18309 18870 21899 22570 26566 30515 31110 33855 36618 38369 39849 43798 61030 65697 66415 67710 76738 79698 91545 109495 115107 131394 132830 183090 191845 199245 218990 225811 230214 328485 372283 383690 398490 451622 575535 656970 677433 744566 810263 1116849 1129055 1151070 1354866 1620526 1861415 2233698 2258110 2430789 3387165 3722830 4051315 4861578 5584245 6774330 8102630 11168490 12153945 13774471 24307890 27548942 41323413 68872355 82646826 137744710 206617065 413234130