Search a number
-
+
1824424338 = 2311316713309
BaseRepresentation
bin110110010111110…
…1000000110010010
311201010222100200210
41230233220012102
512214023034323
6501011424550
763132231252
oct15457500622
94633870623
101824424338
11856927010
1242abb5156
13230c92239
14134433962
15aa280293
hex6cbe8192

1824424338 has 64 divisors (see below), whose sum is σ = 4170608640. Its totient is φ = 526996800.

The previous prime is 1824424337. The next prime is 1824424351. The reversal of 1824424338 is 8334244281.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1824424296 and 1824424305.

It is not an unprimeable number, because it can be changed into a prime (1824424337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130428 + ... + 143736.

It is an arithmetic number, because the mean of its divisors is an integer number (65165760).

Almost surely, 21824424338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1824424338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085304320).

1824424338 is an abundant number, since it is smaller than the sum of its proper divisors (2346184302).

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

1824424338 is a wasteful number, since it uses less digits than its factorization.

1824424338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423.

The product of its digits is 147456, while the sum is 39.

The square root of 1824424338 is about 42713.2805811026. The cubic root of 1824424338 is about 1221.9176903978.

It can be divided in two parts, 18244243 and 38, that added together give a palindrome (18244281).

The spelling of 1824424338 in words is "one billion, eight hundred twenty-four million, four hundred twenty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 67 93 134 186 201 341 402 682 737 1023 1474 2046 2077 2211 4154 4422 6231 12462 13309 22847 26618 39927 45694 68541 79854 137082 146399 292798 412579 439197 825158 878394 891703 1237737 1783406 2475474 2675109 4538369 5350218 9076738 9808733 13615107 19617466 27230214 27642793 29426199 55285586 58852398 82928379 165856758 304070723 608141446 912212169 1824424338