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28346670 = 232511219137
BaseRepresentation
bin110110000100…
…0100100101110
31222100011022200
41230020210232
524224043140
62451322330
7462641232
oct154104456
958304280
1028346670
1115001300
1295b03a6
135b465a1
143a9c5c2
15274e030
hex1b0892e

28346670 has 144 divisors (see below), whose sum is σ = 85896720. Its totient is φ = 6462720.

The previous prime is 28346663. The next prime is 28346707. The reversal of 28346670 is 7664382.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 206842 + ... + 206978.

It is an arithmetic number, because the mean of its divisors is an integer number (596505).

Almost surely, 228346670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28346670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42948360).

28346670 is an abundant number, since it is smaller than the sum of its proper divisors (57550050).

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

28346670 is a wasteful number, since it uses less digits than its factorization.

28346670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28346670 is about 5324.1590885322. The cubic root of 28346670 is about 304.9069679531.

The spelling of 28346670 in words is "twenty-eight million, three hundred forty-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 137 165 171 190 198 209 242 274 285 330 342 363 411 418 495 570 605 627 685 726 822 855 990 1045 1089 1210 1233 1254 1370 1507 1710 1815 1881 2055 2090 2178 2299 2466 2603 3014 3135 3630 3762 4110 4521 4598 5206 5445 6165 6270 6897 7535 7809 9042 9405 10890 11495 12330 13015 13563 13794 15070 15618 16577 18810 20691 22605 22990 23427 26030 27126 28633 33154 34485 39045 41382 45210 46854 49731 57266 67815 68970 78090 82885 85899 99462 103455 117135 135630 143165 149193 165770 171798 206910 234270 248655 257697 286330 298386 314963 429495 497310 515394 629926 745965 858990 944889 1288485 1491930 1574815 1889778 2576970 2834667 3149630 4724445 5669334 9448890 14173335 28346670