Search a number
-
+
2023432424 = 2313432232029
BaseRepresentation
bin111100010011011…
…0010000011101000
312020000110000110122
41320212302003220
513120444314144
6532441102412
7101066614616
oct17046620350
95200400418
102023432424
119491a1802
12485787a08
1326328cbc0
14152a386b6
15bc9907ee
hex789b20e8

2023432424 has 64 divisors (see below), whose sum is σ = 4201612800. Its totient is φ = 907635456.

The previous prime is 2023432423. The next prime is 2023432427. The reversal of 2023432424 is 4242343202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2023432393 and 2023432402.

It is not an unprimeable number, because it can be changed into a prime (2023432421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996242 + ... + 998270.

It is an arithmetic number, because the mean of its divisors is an integer number (65650200).

Almost surely, 22023432424 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 2023432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100806400).

2023432424 is an abundant number, since it is smaller than the sum of its proper divisors (2178180376).

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

2023432424 is a wasteful number, since it uses less digits than its factorization.

2023432424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2023432424 is about 44982.5791168092. The cubic root of 2023432424 is about 1264.8224581716.

Adding to 2023432424 its reverse (4242343202), we get a palindrome (6265775626).

The spelling of 2023432424 in words is "two billion, twenty-three million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 223 344 446 559 892 1118 1784 2029 2236 2899 4058 4472 5798 8116 9589 11596 16232 19178 23192 26377 38356 52754 76712 87247 105508 124657 174494 211016 249314 348988 452467 498628 697976 904934 997256 1134211 1809868 2268422 3619736 4536844 5882071 9073688 11764142 19456081 23528284 38912162 47056568 77824324 155648648 252929053 505858106 1011716212 2023432424