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830252367 = 327192353569
BaseRepresentation
bin110001011111001…
…010010101001111
32010212021012010200
4301133022111033
53200021033432
6214215104543
726401012560
oct6137122517
92125235120
10830252367
1139672398a
121b2072153
131030159b9
147c3a2167
154cd50a7c
hex317ca54f

830252367 has 96 divisors (see below), whose sum is σ = 1536537600. Its totient is φ = 421065216.

The previous prime is 830252359. The next prime is 830252387. The reversal of 830252367 is 763252038.

It is not a de Polignac number, because 830252367 - 23 = 830252359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830252327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1458859 + ... + 1459427.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2830252367 is an apocalyptic number.

830252367 is a deficient number, since it is larger than the sum of its proper divisors (706285233).

830252367 is a wasteful number, since it uses less digits than its factorization.

830252367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 830252367 is about 28814.1001421179. The cubic root of 830252367 is about 939.8748765853.

The spelling of 830252367 in words is "eight hundred thirty million, two hundred fifty-two thousand, three hundred sixty-seven".

Divisors: 1 3 7 9 19 21 23 53 57 63 69 133 159 161 171 207 371 399 437 477 483 569 1007 1113 1197 1219 1311 1449 1707 3021 3059 3339 3657 3933 3983 5121 7049 8533 9063 9177 10811 10971 11949 13087 21147 23161 25599 27531 30157 32433 35847 39261 63441 69483 75677 76797 90471 91609 97299 117783 162127 208449 211099 227031 248653 271413 274827 486381 572983 633297 681093 693611 745959 824481 1459143 1718949 1740571 1899891 2080833 2237877 4010881 4855277 5156847 5221713 6242499 12032643 13178609 14565831 15665139 36097929 39535827 43697493 92250263 118607481 276750789 830252367