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806408234328 = 233372113217201
BaseRepresentation
bin10111011110000011010…
…11010010010101011000
32212002110222100202212210
423233001223102111120
5101203011001444303
61414243035035120
7112155355615644
oct13570153222530
92762428322783
10806408234328
11290aa5475024
1211035459baa0
135b0757aa9c8
142b05d47dc24
1515e9abb8203
hexbbc1ad2558

806408234328 has 96 divisors (see below), whose sum is σ = 2090325983760. Its totient is φ = 259222118400.

The previous prime is 806408234323. The next prime is 806408234339. The reversal of 806408234328 is 823432804608.

806408234328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8064082343282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806408234321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3604128 + ... + 3821328.

Almost surely, 2806408234328 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 806408234328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045162991880).

806408234328 is an abundant number, since it is smaller than the sum of its proper divisors (1283917749432).

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

806408234328 is a wasteful number, since it uses less digits than its factorization.

806408234328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217397 (or 217356 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 806408234328 in words is "eight hundred six billion, four hundred eight million, two hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 444 452 678 888 904 1356 1369 2712 2738 4107 4181 5476 8214 8362 10952 12543 16428 16724 25086 32856 33448 50172 100344 154697 217201 309394 434402 464091 618788 651603 868804 928182 1237576 1303206 1737608 1856364 2606412 3712728 5212824 8036437 16072874 24109311 24543713 32145748 48218622 49087426 64291496 73631139 96437244 98174852 147262278 192874488 196349704 294524556 297348169 589049112 594696338 892044507 908117381 1189392676 1784089014 1816234762 2378785352 2724352143 3568178028 3632469524 5448704286 7136356056 7264939048 10897408572 21794817144 33600343097 67200686194 100801029291 134401372388 201602058582 268802744776 403204117164 806408234328