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368874330 = 2351117471399
BaseRepresentation
bin10101111111001…
…001001101011010
3221201002202110020
4111333021031122
51223412434310
6100334131310
712066244236
oct2577111532
9851082406
10368874330
1117a246820
12a3650b36
135b564146
1436dc15c6
15225b6170
hex15fc935a

368874330 has 128 divisors (see below), whose sum is σ = 1045094400. Its totient is φ = 82314240.

The previous prime is 368874293. The next prime is 368874343. The reversal of 368874330 is 33478863.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 262971 + ... + 264369.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2368874330 is an apocalyptic number.

368874330 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 368874330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

368874330 is an abundant number, since it is smaller than the sum of its proper divisors (676220070).

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

368874330 is a wasteful number, since it uses less digits than its factorization.

368874330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484.

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 368874330 is about 19206.1013743029. The cubic root of 368874330 is about 717.1766554481.

The spelling of 368874330 in words is "three hundred sixty-eight million, eight hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 47 51 55 66 85 94 102 110 141 165 170 187 235 255 282 330 374 470 510 517 561 705 799 935 1034 1122 1399 1410 1551 1598 1870 2397 2585 2798 2805 3102 3995 4197 4794 5170 5610 6995 7755 7990 8394 8789 11985 13990 15389 15510 17578 20985 23783 23970 26367 30778 41970 43945 46167 47566 52734 65753 71349 76945 87890 92334 118915 131506 131835 142698 153890 197259 230835 237830 261613 263670 328765 356745 394518 461670 523226 657530 713490 723283 784839 986295 1117801 1308065 1446566 1569678 1972590 2169849 2235602 2616130 3353403 3616415 3924195 4339698 5589005 6706806 7232830 7848390 10849245 11178010 12295811 16767015 21698490 24591622 33534030 36887433 61479055 73774866 122958110 184437165 368874330