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2868179344 = 241722973293
BaseRepresentation
bin1010101011110100…
…1111000110010000
321101212222121101121
42222331033012100
521333223214334
61152335012024
7131035056622
oct25275170620
97355877347
102868179344
111242015658
1268066a014
133692ac154
141d2cd0c12
1511bc05db4
hexaaf4f190

2868179344 has 120 divisors (see below), whose sum is σ = 6211555560. Its totient is φ = 1280950272.

The previous prime is 2868179341. The next prime is 2868179351. The reversal of 2868179344 is 4439718682.

2868179344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 142086400 + 2726092944 = 11920^2 + 52212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2868179291 and 2868179300.

It is not an unprimeable number, because it can be changed into a prime (2868179341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9788862 + ... + 9789154.

It is an arithmetic number, because the mean of its divisors is an integer number (51762963).

Almost surely, 22868179344 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 2868179344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105777780).

2868179344 is an abundant number, since it is smaller than the sum of its proper divisors (3343376216).

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

2868179344 is a wasteful number, since it uses less digits than its factorization.

2868179344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 2868179344 is about 53555.3857609111. The cubic root of 2868179344 is about 1420.8081335304.

The spelling of 2868179344 in words is "two billion, eight hundred sixty-eight million, one hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 73 116 136 146 232 272 289 292 293 464 493 578 584 586 986 1156 1168 1172 1241 1972 2117 2312 2344 2482 3944 4234 4624 4688 4964 4981 7888 8381 8468 8497 9928 9962 16762 16936 16994 19856 19924 21097 21389 33524 33872 33988 35989 39848 42194 42778 67048 67976 71978 79696 84388 84677 85556 134096 135952 143956 144449 168776 169354 171112 287912 288898 337552 338708 342224 363613 575824 577796 611813 620281 677416 727226 1155592 1223626 1240562 1354832 1454452 2311184 2447252 2455633 2481124 2908904 4894504 4911266 4962248 5817808 6181421 9789008 9822532 9924496 10544777 12362842 19645064 21089554 24725684 39290128 42179108 49451368 84358216 98902736 168716432 179261209 358522418 717044836 1434089672 2868179344