Search a number
-
+
1342822320 = 24335788811
BaseRepresentation
bin101000000001001…
…1101011110110000
310110120202102221000
41100002131132300
510222230303240
6341125202000
745163541610
oct12002353660
93416672830
101342822320
11629a96314
12315860300
1318527c328
14ca4aaa40
157cd4d430
hex5009d7b0

1342822320 has 160 divisors (see below), whose sum is σ = 5286090240. Its totient is φ = 306927360.

The previous prime is 1342822309. The next prime is 1342822331. The reversal of 1342822320 is 232282431.

1342822320 is a `hidden beast` number, since 1 + 3 + 428 + 2 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1342822309) and next prime (1342822331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29286 + ... + 59525.

It is an arithmetic number, because the mean of its divisors is an integer number (33038064).

Almost surely, 21342822320 is an apocalyptic number.

1342822320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342822320 is an abundant number, since it is smaller than the sum of its proper divisors (3943267920).

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

1342822320 is a wasteful number, since it uses less digits than its factorization.

1342822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88840 (or 88828 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1342822320 is about 36644.5401117274. The cubic root of 1342822320 is about 1103.2472420502.

The spelling of 1342822320 in words is "one billion, three hundred forty-two million, eight hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 88811 177622 266433 355244 444055 532866 621677 710488 799299 888110 1065732 1243354 1332165 1420976 1598598 1776220 1865031 2131464 2397897 2486708 2664330 3108385 3197196 3552440 3730062 3996495 4262928 4795794 4973416 5328660 5595093 6216770 6394392 7104880 7460124 7992990 9325155 9591588 9946832 10657320 11190186 11989485 12433540 12788784 14920248 15985980 16785279 18650310 19183176 21314640 22380372 23978970 24867080 27975465 29840496 31971960 33570558 37300620 38366352 44760744 47957940 49734160 55950930 63943920 67141116 74601240 83926395 89521488 95915880 111901860 134282232 149202480 167852790 191831760 223803720 268564464 335705580 447607440 671411160 1342822320