Search a number
-
+
2341443324 = 22311371393449
BaseRepresentation
bin1000101110001111…
…1001011011111100
320001011211122102010
42023203321123330
514243402141244
61024201131220
7112010640243
oct21343713374
96034748363
102341443324
11aa1758030
12554189b10
132b412592c
14182d7995a
15da85aeb9
hex8b8f96fc

2341443324 has 96 divisors (see below), whose sum is σ = 6166944000. Its totient is φ = 685186560.

The previous prime is 2341443323. The next prime is 2341443343. The reversal of 2341443324 is 4233441432.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2341443291 and 2341443300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341443323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677152 + ... + 680600.

It is an arithmetic number, because the mean of its divisors is an integer number (64239000).

Almost surely, 22341443324 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 2341443324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083472000).

2341443324 is an abundant number, since it is smaller than the sum of its proper divisors (3825500676).

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

2341443324 is a wasteful number, since it uses less digits than its factorization.

2341443324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3641 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 2341443324 is about 48388.4627158169. The cubic root of 2341443324 is about 1327.8872979489.

Adding to 2341443324 its reverse (4233441432), we get a palindrome (6574884756).

The spelling of 2341443324 in words is "two billion, three hundred forty-one million, four hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 139 148 222 278 407 417 444 556 814 834 1221 1529 1628 1668 2442 3058 3449 4587 4884 5143 6116 6898 9174 10286 10347 13796 15429 18348 20572 20694 30858 37939 41388 56573 61716 75878 113146 113817 127613 151756 169719 226292 227634 255226 339438 382839 455268 479411 510452 678876 765678 958822 1403743 1438233 1531356 1917644 2807486 2876466 4211229 5273521 5614972 5752932 8422458 10547042 15820563 16844916 17738207 21094084 31641126 35476414 53214621 63282252 70952828 106429242 195120277 212858484 390240554 585360831 780481108 1170721662 2341443324