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830530368 = 26332320897
BaseRepresentation
bin110001100000001…
…110001101000000
32010212210022111000
4301200032031000
53200103432433
6214225052000
726403251223
oct6140161500
92125708430
10830530368
113968a3838
121b2187000
131030b23b5
147c4355ba
154cda8113
hex3180e340

830530368 has 112 divisors (see below), whose sum is σ = 2547884160. Its totient is φ = 264794112.

The previous prime is 830530361. The next prime is 830530387. The reversal of 830530368 is 863035038.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830530361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29296 + ... + 50192.

Almost surely, 2830530368 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 830530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273942080).

830530368 is an abundant number, since it is smaller than the sum of its proper divisors (1717353792).

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

830530368 is a wasteful number, since it uses less digits than its factorization.

830530368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20941 (or 20925 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 830530368 is about 28818.9237828202. The cubic root of 830530368 is about 939.9797671818.

The spelling of 830530368 in words is "eight hundred thirty million, five hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 20897 39744 41794 62691 83588 125382 167176 188073 250764 334352 376146 480631 501528 564219 668704 752292 961262 1003056 1128438 1337408 1441893 1504584 1922524 2006112 2256876 2883786 3009168 3845048 4012224 4325679 4513752 5767572 6018336 7690096 8651358 9027504 11535144 12036672 12977037 15380192 17302716 18055008 23070288 25954074 30760384 34605432 36110016 46140576 51908148 69210864 92281152 103816296 138421728 207632592 276843456 415265184 830530368