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834433530 = 235729181757
BaseRepresentation
bin110001101111000…
…111000111111010
32011011010121121120
4301233013013322
53202103333110
6214444450110
726451365550
oct6157070772
92134117546
10834433530
1139901a297
121b3549936
13103b4ab68
147cb6dbd0
154d3c9870
hex31bc71fa

834433530 has 128 divisors (see below), whose sum is σ = 2383879680. Its totient is φ = 182891520.

The previous prime is 834433529. The next prime is 834433553. The reversal of 834433530 is 35334438.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 834433491 and 834433500.

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, 1101912 + ... + 1102668.

It is an arithmetic number, because the mean of its divisors is an integer number (18624060).

Almost surely, 2834433530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834433530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191939840).

834433530 is an abundant number, since it is smaller than the sum of its proper divisors (1549446150).

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

834433530 is a wasteful number, since it uses less digits than its factorization.

834433530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 834433530 is about 28886.5631392868. The cubic root of 834433530 is about 941.4499766457.

Adding to 834433530 its reverse (35334438), we get a palindrome (869767968).

The spelling of 834433530 in words is "eight hundred thirty-four million, four hundred thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 181 203 210 290 362 406 435 543 609 757 870 905 1015 1086 1218 1267 1514 1810 2030 2271 2534 2715 3045 3785 3801 4542 5249 5299 5430 6090 6335 7570 7602 10498 10598 11355 12670 15747 15897 19005 21953 22710 26245 26495 31494 31794 36743 38010 43906 52490 52990 65859 73486 78735 79485 109765 110229 131718 137017 153671 157470 158970 183715 219530 220458 274034 307342 329295 367430 411051 461013 551145 658590 685085 768355 822102 922026 959119 1102290 1370170 1536710 1918238 2055255 2305065 2877357 3973493 4110510 4610130 4795595 5754714 7946986 9591190 11920479 14386785 19867465 23840958 27814451 28773570 39734930 55628902 59602395 83443353 119204790 139072255 166886706 278144510 417216765 834433530