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284064201330 = 235713175359357
BaseRepresentation
bin1000010001000111000…
…10111011101001110010
31000011012220220120121120
410020203202323221302
514123230413420310
6334255225403110
726344242605040
oct4104342735162
91004186816546
10284064201330
11aa51a921958
1247078639496
1320a30463a40
14da6a923390
1575c864ab70
hex42238bba72

284064201330 has 128 divisors (see below), whose sum is σ = 839574747648. Its totient is φ = 59899226112.

The previous prime is 284064201271. The next prime is 284064201347. The reversal of 284064201330 is 33102460482.

It is a junction number, because it is equal to n+sod(n) for n = 284064201291 and 284064201300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4756012 + ... + 4815368.

It is an arithmetic number, because the mean of its divisors is an integer number (6559177716).

Almost surely, 2284064201330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284064201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419787373824).

284064201330 is an abundant number, since it is smaller than the sum of its proper divisors (555510546318).

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

284064201330 is a wasteful number, since it uses less digits than its factorization.

284064201330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61140.

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 284064201330 in words is "two hundred eighty-four billion, sixty-four million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1753 2730 3506 5259 8765 10518 12271 17530 22789 24542 26295 36813 45578 52590 59357 61355 68367 73626 113945 118714 122710 136734 159523 178071 184065 227890 296785 319046 341835 356142 368130 415499 478569 593570 683670 771641 797615 830998 890355 957138 1246497 1543282 1595230 1780710 2077495 2314923 2392845 2492994 3858205 4154990 4629846 4785690 5401487 6232485 7716410 10802974 11574615 12464970 16204461 23149230 27007435 32408922 54014870 81022305 104052821 162044610 208105642 312158463 520264105 624316926 728369747 1040528210 1352686673 1456739494 1560792315 2185109241 2705373346 3121584630 3641848735 4058060019 4370218482 6763433365 7283697470 8116120038 9468806711 10925546205 13526866730 18937613422 20290300095 21851092410 28406420133 40580600190 47344033555 56812840266 94688067110 142032100665 284064201330