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813070336 = 2111330539
BaseRepresentation
bin110000011101100…
…111100000000000
32002122221020211011
4300131213200000
53131121222321
6212402530304
726101661311
oct6035474000
92078836734
10813070336
11387a58861
121a8366994
13cc5ab110
1479dac608
154b5a9ae1
hex30767800

813070336 has 48 divisors (see below), whose sum is σ = 1750858200. Its totient is φ = 375250944.

The previous prime is 813070333. The next prime is 813070337. The reversal of 813070336 is 633070318.

It is a super-2 number, since 2×8130703362 = 1322166742566305792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813070298 and 813070307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813070331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11355 + ... + 41893.

Almost surely, 2813070336 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 813070336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875429100).

813070336 is an abundant number, since it is smaller than the sum of its proper divisors (937787864).

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

813070336 is a wasteful number, since it uses less digits than its factorization.

813070336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30574 (or 30554 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 813070336 is about 28514.3882277001. The cubic root of 813070336 is about 933.3460751095.

The spelling of 813070336 in words is "eight hundred thirteen million, seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 26624 30539 61078 122156 244312 397007 488624 794014 977248 1588028 1954496 3176056 3908992 6352112 7817984 12704224 15635968 25408448 31271936 50816896 62543872 101633792 203267584 406535168 813070336