[go: up one dir, main page]

Search a number
-
+
2236344 = 2331143197
BaseRepresentation
bin1000100001111110111000
311012121200120
420201332320
51033030334
6115533240
725002645
oct10417670
94177616
102236344
111298220
128ba220
13603ba6
14422dcc
152e2949
hex221fb8

2236344 has 64 divisors (see below), whose sum is σ = 6272640. Its totient is φ = 658560.

The previous prime is 2236331. The next prime is 2236349. The reversal of 2236344 is 4436322.

It is a happy number.

2236344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 217 + 221 + 35 + 62 + 38 + 44 + 45 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2236349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11254 + ... + 11450.

It is an arithmetic number, because the mean of its divisors is an integer number (98010).

22236344 is an apocalyptic number.

2236344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2236344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136320).

2236344 is an abundant number, since it is smaller than the sum of its proper divisors (4036296).

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

2236344 is a wasteful number, since it uses less digits than its factorization.

2236344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2236344 is about 1495.4410720587. The cubic root of 2236344 is about 130.7714290110.

The spelling of 2236344 in words is "two million, two hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 197 258 264 344 394 473 516 591 788 946 1032 1182 1419 1576 1892 2167 2364 2838 3784 4334 4728 5676 6501 8471 8668 11352 13002 16942 17336 25413 26004 33884 50826 52008 67768 93181 101652 186362 203304 279543 372724 559086 745448 1118172 2236344