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830608296 = 233731433709
BaseRepresentation
bin110001100000100…
…001001110101000
32010212221021101020
4301200201032220
53200113431141
6214230452440
726404024350
oct6140411650
92125837336
10830608296
11396947341
121b2204120
1310310b9cb
147c455b60
154cdc1266
hex318213a8

830608296 has 128 divisors (see below), whose sum is σ = 2507366400. Its totient is φ = 224259840.

The previous prime is 830608283. The next prime is 830608297. The reversal of 830608296 is 692806038.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (830608297) 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 31 ways as a sum of consecutive naturals, for example, 222090 + ... + 225798.

It is an arithmetic number, because the mean of its divisors is an integer number (19588800).

Almost surely, 2830608296 is an apocalyptic number.

830608296 is a gapful number since it is divisible by the number (86) 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 830608296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253683200).

830608296 is an abundant number, since it is smaller than the sum of its proper divisors (1676758104).

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

830608296 is a wasteful number, since it uses less digits than its factorization.

830608296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 830608296 is about 28820.2757793884. The cubic root of 830608296 is about 940.0091654456.

The spelling of 830608296 in words is "eight hundred thirty million, six hundred eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 43 56 62 84 86 93 124 129 168 172 186 217 248 258 301 344 372 434 516 602 651 744 868 903 1032 1204 1302 1333 1736 1806 2408 2604 2666 3612 3709 3999 5208 5332 7224 7418 7998 9331 10664 11127 14836 15996 18662 22254 25963 27993 29672 31992 37324 44508 51926 55986 74648 77889 89016 103852 111972 114979 155778 159487 207704 223944 229958 311556 318974 344937 459916 478461 623112 637948 689874 804853 919832 956922 1116409 1275896 1379748 1609706 1913844 2232818 2414559 2759496 3219412 3349227 3827688 4465636 4829118 4944097 6438824 6698454 8931272 9658236 9888194 13396908 14832291 19316472 19776388 26793816 29664582 34608679 39552776 59329164 69217358 103826037 118658328 138434716 207652074 276869432 415304148 830608296