Search a number
-
+
2834336880 = 243354727919
BaseRepresentation
bin1010100011110000…
…1000110001110000
321022112022020021000
42220330020301300
521301042240010
61145125402000
7130144315554
oct25074106160
97275266230
102834336880
111224a00281
12671269300
1336229021b
141cc601864
15118c6d7c0
hexa8f08c70

2834336880 has 160 divisors (see below), whose sum is σ = 9970790400. Its totient is φ = 739715328.

The previous prime is 2834336861. The next prime is 2834336941. The reversal of 2834336880 is 886334382.

2834336880 is a `hidden beast` number, since 2 + 83 + 433 + 68 + 80 = 666.

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

It is a congruent number.

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, 87561 + ... + 115479.

It is an arithmetic number, because the mean of its divisors is an integer number (62317440).

Almost surely, 22834336880 is an apocalyptic number.

2834336880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2834336880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985395200).

2834336880 is an abundant number, since it is smaller than the sum of its proper divisors (7136453520).

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

2834336880 is a wasteful number, since it uses less digits than its factorization.

2834336880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27988 (or 27976 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2834336880 is about 53238.4905871682. The cubic root of 2834336880 is about 1415.1978363814.

The spelling of 2834336880 in words is "two billion, eight hundred thirty-four million, three hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 25380 27919 33840 50760 55838 83757 101520 111676 139595 167514 223352 251271 279190 335028 418785 446704 502542 558380 670056 753813 837570 1005084 1116760 1256355 1312193 1340112 1507626 1675140 2010168 2233520 2512710 2624386 3015252 3350280 3769065 3936579 4020336 5025420 5248772 6030504 6560965 6700560 7538130 7873158 10050840 10497544 11809737 12061008 13121930 15076260 15746316 19682895 20101680 20995088 23619474 26243860 30152520 31492632 35429211 39365790 47238948 52487720 59048685 60305040 62985264 70858422 78731580 94477896 104975440 118097370 141716844 157463160 177146055 188955792 236194740 283433688 314926320 354292110 472389480 566867376 708584220 944778960 1417168440 2834336880