Search a number
-
+
3084729102 = 2337134871289
BaseRepresentation
bin1011011111011101…
…0011101100001110
321221222110110211000
42313313103230032
522304142312402
61230032241130
7136304523210
oct26767235416
97858413730
103084729102
1113432816a4
127210a01a6
133a210c2c0
142139805b0
15130c2dc1c
hexb7dd3b0e

3084729102 has 128 divisors (see below), whose sum is σ = 8460748800. Its totient is φ = 811254528.

The previous prime is 3084729091. The next prime is 3084729139. The reversal of 3084729102 is 2019274803.

It is a congruent number.

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, 2392474 + ... + 2393762.

It is an arithmetic number, because the mean of its divisors is an integer number (66099600).

Almost surely, 23084729102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084729102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230374400).

3084729102 is an abundant number, since it is smaller than the sum of its proper divisors (5376019698).

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

3084729102 is a wasteful number, since it uses less digits than its factorization.

3084729102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3084729102 is about 55540.3376115054. The cubic root of 3084729102 is about 1455.7015471144.

The spelling of 3084729102 in words is "three billion, eighty-four million, seven hundred twenty-nine thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 487 546 702 819 974 1289 1461 1638 2457 2578 2922 3409 3867 4383 4914 6331 6818 7734 8766 9023 10227 11601 12662 13149 16757 18046 18993 20454 23202 26298 27069 30681 33514 34803 37986 44317 50271 54138 56979 61362 69606 81207 88634 92043 100542 113958 117299 132951 150813 162414 170937 184086 234598 243621 265902 301626 341874 351897 398853 452439 487242 627743 703794 797706 904878 1055691 1196559 1255486 1883229 2111382 2393118 3167073 3766458 4394201 5649687 6334146 8160659 8788402 11299374 13182603 16321318 16949061 24481977 26365206 33898122 39547809 48963954 57124613 73445931 79095618 114249226 118643427 146891862 171373839 220337793 237286854 342747678 440675586 514121517 1028243034 1542364551 3084729102