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830863360 = 2115411979
BaseRepresentation
bin110001100001011…
…111100000000000
32010220102020021001
4301201133200000
53200200111420
6214240141344
726406136105
oct6141374000
92126366231
10830863360
11397000a38
121b2307854
1310319ab32
147c4c0aac
154ce21b0a
hex3185f800

830863360 has 96 divisors (see below), whose sum is σ = 2043241200. Its totient is φ = 324075520.

The previous prime is 830863343. The next prime is 830863361. The reversal of 830863360 is 63368038.

It is a super-3 number, since 3×8308633603 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830863361) 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 7 ways as a sum of consecutive naturals, for example, 418851 + ... + 420829.

Almost surely, 2830863360 is an apocalyptic number.

830863360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021620600).

830863360 is an abundant number, since it is smaller than the sum of its proper divisors (1212377840).

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

830863360 is a wasteful number, since it uses less digits than its factorization.

830863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 830863360 is about 28824.7005188259. The cubic root of 830863360 is about 940.1053752398.

The spelling of 830863360 in words is "eight hundred thirty million, eight hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 1979 2048 2560 2624 3280 3958 5120 5248 6560 7916 9895 10240 10496 13120 15832 19790 20992 26240 31664 39580 41984 52480 63328 79160 81139 83968 104960 126656 158320 162278 209920 253312 316640 324556 405695 419840 506624 633280 649112 811390 1013248 1266560 1298224 1622780 2026496 2533120 2596448 3245560 4052992 5066240 5192896 6491120 10132480 10385792 12982240 20264960 20771584 25964480 41543168 51928960 83086336 103857920 166172672 207715840 415431680 830863360