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2840332116 = 2231925389139
BaseRepresentation
bin1010100101001100…
…0000011101010100
321022221120211011210
42221103000131110
521304111111431
61145502101420
7130246265436
oct25123003524
97287524153
102840332116
111228325616
1267327a870
133635abcbb
141cd322656
15119554d46
hexa94c0754

2840332116 has 144 divisors (see below), whose sum is σ = 7258507200. Its totient is φ = 863875584.

The previous prime is 2840332111. The next prime is 2840332147. The reversal of 2840332116 is 6112330482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2840332111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20433975 + ... + 20434113.

It is an arithmetic number, because the mean of its divisors is an integer number (50406300).

Almost surely, 22840332116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840332116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629253600).

2840332116 is an abundant number, since it is smaller than the sum of its proper divisors (4418175084).

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

2840332116 is a wasteful number, since it uses less digits than its factorization.

2840332116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2840332116 is about 53294.7663096481. The cubic root of 2840332116 is about 1416.1949502565.

Adding to 2840332116 its reverse (6112330482), we get a palindrome (8952662598).

The spelling of 2840332116 in words is "two billion, eight hundred forty million, three hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 89 106 114 139 159 178 212 228 267 278 318 356 361 417 534 556 636 722 834 1007 1068 1083 1444 1668 1691 2014 2166 2641 3021 3382 4028 4332 4717 5073 5282 6042 6764 7367 7923 9434 10146 10564 12084 12371 14151 14734 15846 18868 19133 20292 22101 24742 28302 29468 31692 32129 37113 38266 44202 49484 50179 56604 57399 64258 74226 76532 88404 89623 96387 100358 114798 128516 139973 148452 150537 179246 192774 200716 229596 235049 268869 279946 301074 358492 385548 419919 470098 537738 559892 602148 655663 705147 839838 940196 1075476 1311326 1410294 1679676 1702837 1966989 2622652 2659487 2820588 3405674 3933978 4465931 5108511 5318974 6811348 7867956 7978461 8931862 10217022 10637948 12457597 13397793 15956922 17863724 20434044 24915194 26795586 31913844 37372791 49830388 53591172 74745582 149491164 236694343 473388686 710083029 946777372 1420166058 2840332116