Search a number
-
+
2830626 = 234101173
BaseRepresentation
bin1010110011000100100010
312022210220000
422303010202
51211040001
6140400430
733026361
oct12630442
95283800
102830626
111663767
12b46116
13781536
145397d8
153ada86
hex2b3122

2830626 has 40 divisors (see below), whose sum is σ = 6442524. Its totient is φ = 928800.

The previous prime is 2830613. The next prime is 2830627. The reversal of 2830626 is 6260382.

2830626 is a `hidden beast` number, since 2 + 8 + 30 + 626 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2099601 + 731025 = 1449^2 + 855^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2830626.

It is not an unprimeable number, because it can be changed into a prime (2830627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16276 + ... + 16448.

22830626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221262).

2830626 is an abundant number, since it is smaller than the sum of its proper divisors (3611898).

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

2830626 is a wasteful number, since it uses less digits than its factorization.

2830626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2830626 is about 1682.4464330254. The cubic root of 2830626 is about 141.4579946654.

The spelling of 2830626 in words is "two million, eight hundred thirty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 173 202 303 346 519 606 909 1038 1557 1818 2727 3114 4671 5454 8181 9342 14013 16362 17473 28026 34946 52419 104838 157257 314514 471771 943542 1415313 2830626