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3282398730 = 2325133190499
BaseRepresentation
bin1100001110100101…
…0110111000001010
322110202102010120100
43003221112320022
523210243224410
61301413110230
7144224633412
oct30351267012
98422363510
103282398730
111434912826
12777328376
1340405b990
14231d17642
151432778c0
hexc3a56e0a

3282398730 has 96 divisors (see below), whose sum is σ = 9487296000. Its totient is φ = 781902720.

The previous prime is 3282398687. The next prime is 3282398767. The reversal of 3282398730 is 378932823.

It is a happy number.

It is a super-2 number, since 2×32823987302 = 21548282845411225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8980 + ... + 81519.

It is an arithmetic number, because the mean of its divisors is an integer number (98826000).

Almost surely, 23282398730 is an apocalyptic number.

3282398730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282398730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743648000).

3282398730 is an abundant number, since it is smaller than the sum of its proper divisors (6204897270).

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

3282398730 is a wasteful number, since it uses less digits than its factorization.

3282398730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90556 (or 90553 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3282398730 is about 57292.2222470031. Note that the first 4 decimals coincide. The cubic root of 3282398730 is about 1486.1538765037.

The spelling of 3282398730 in words is "three billion, two hundred eighty-two million, three hundred ninety-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 36270 90499 180998 271497 452495 542994 814491 904990 1176487 1357485 1628982 2352974 2714970 2805469 3529461 4072455 5610938 5882435 7058922 8144910 8416407 10588383 11764870 14027345 16832814 17647305 21176766 25249221 28054690 35294610 36471097 42082035 50498442 52941915 72942194 84164070 105883830 109413291 126246105 182355485 218826582 252492210 328239873 364710970 547066455 656479746 1094132910 1641199365 3282398730