Search a number
-
+
2840838 = 2371121343
BaseRepresentation
bin1010110101100100000110
312100022220020
422311210012
51211401323
6140520010
733101220
oct12654406
95308806
102840838
111670400
12b50006
13786090
1453d410
153b1ae3
hex2b5906

2840838 has 96 divisors (see below), whose sum is σ = 7865088. Its totient is φ = 665280.

The previous prime is 2840801. The next prime is 2840857. The reversal of 2840838 is 8380482.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2840799 and 2840808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66045 + ... + 66087.

It is an arithmetic number, because the mean of its divisors is an integer number (81928).

22840838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932544).

2840838 is an abundant number, since it is smaller than the sum of its proper divisors (5024250).

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

2840838 is a wasteful number, since it uses less digits than its factorization.

2840838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2840838 is about 1685.4785670545. The cubic root of 2840838 is about 141.6279023504.

The spelling of 2840838 in words is "two million, eight hundred forty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 43 66 77 78 86 91 121 129 143 154 182 231 242 258 273 286 301 363 429 462 473 546 559 602 726 847 858 903 946 1001 1118 1419 1573 1677 1694 1806 2002 2541 2838 3003 3146 3311 3354 3913 4719 5082 5203 6006 6149 6622 7826 9438 9933 10406 11011 11739 12298 15609 18447 19866 22022 23478 31218 33033 36421 36894 43043 66066 67639 72842 86086 109263 129129 135278 202917 218526 258258 405834 473473 946946 1420419 2840838