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434166630 = 2352341103149
BaseRepresentation
bin11001111000001…
…101101101100110
31010020221221122120
4121320031231212
51342121313010
6111025410410
713521232632
oct3170155546
91106857576
10434166630
112030918a7
12101499a06
136bc44c41
1441939dc2
15281b1e70
hex19e0db66

434166630 has 128 divisors (see below), whose sum is σ = 1132185600. Its totient is φ = 106275840.

The previous prime is 434166599. The next prime is 434166643. The reversal of 434166630 is 36661434.

It is a junction number, because it is equal to n+sod(n) for n = 434166591 and 434166600.

It is a congruent number.

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, 2913796 + ... + 2913944.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2434166630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434166630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

434166630 is an abundant number, since it is smaller than the sum of its proper divisors (698018970).

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

434166630 is a wasteful number, since it uses less digits than its factorization.

434166630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 434166630 is about 20836.6655201834. The cubic root of 434166630 is about 757.2143113327.

The spelling of 434166630 in words is "four hundred thirty-four million, one hundred sixty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 69 82 103 115 123 138 149 205 206 230 246 298 309 345 410 447 515 615 618 690 745 894 943 1030 1230 1490 1545 1886 2235 2369 2829 3090 3427 4223 4470 4715 4738 5658 6109 6854 7107 8446 9430 10281 11845 12218 12669 14145 14214 15347 17135 18327 20562 21115 23690 25338 28290 30545 30694 34270 35535 36654 42230 46041 51405 61090 63345 71070 76735 91635 92082 97129 102810 126690 140507 153470 183270 194258 230205 281014 291387 352981 421521 460410 485645 582774 629227 702535 705962 843042 971290 1058943 1258454 1405070 1456935 1764905 1887681 2107605 2117886 2913870 3146135 3529810 3775362 4215210 5294715 6292270 9438405 10589430 14472221 18876810 28944442 43416663 72361105 86833326 144722210 217083315 434166630