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830148330 = 235112713221
BaseRepresentation
bin110001011110110…
…000111011101010
32010212001220102110
4301132300323222
53200004221310
6214212543150
726400100344
oct6136607352
92125056373
10830148330
11396662800
121b2021ab6
13102caa53b
147c376294
154cd2ed20
hex317b0eea

830148330 has 96 divisors (see below), whose sum is σ = 2221478784. Its totient is φ = 198352000.

The previous prime is 830148313. The next prime is 830148337. The reversal of 830148330 is 33841038.

Adding to 830148330 its reverse (33841038), we get a palindrome (863989368).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (830148337) 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 47 ways as a sum of consecutive naturals, for example, 256120 + ... + 259340.

It is an arithmetic number, because the mean of its divisors is an integer number (23140404).

Almost surely, 2830148330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830148330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110739392).

830148330 is an abundant number, since it is smaller than the sum of its proper divisors (1391330454).

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

830148330 is a wasteful number, since it uses less digits than its factorization.

830148330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 830148330 is about 28812.2947715034. The cubic root of 830148330 is about 939.8356170979.

The spelling of 830148330 in words is "eight hundred thirty million, one hundred forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 121 142 165 213 242 330 355 363 426 605 710 726 781 1065 1210 1562 1815 2130 2343 3221 3630 3905 4686 6442 7810 8591 9663 11715 16105 17182 19326 23430 25773 32210 35431 42955 48315 51546 70862 85910 96630 106293 128865 177155 212586 228691 257730 354310 389741 457382 531465 686073 779482 1062930 1143455 1169223 1372146 1948705 2286910 2338446 2515601 3430365 3897410 5031202 5846115 6860730 7546803 11692230 12578005 15093606 25156010 27671611 37734015 55343222 75468030 83014833 138358055 166029666 276716110 415074165 830148330