Search a number
-
+
24330300040 = 2351735779853
BaseRepresentation
bin10110101010001100…
…101110101010001000
32022210121202022011201
4112222030232222020
5344312024100130
615102134433544
71520633065234
oct265214565210
968717668151
1024330300040
11a355902592
1248702028b4
1323a9875857
14126b4595c4
15975ed7bca
hex5aa32ea88

24330300040 has 32 divisors (see below), whose sum is σ = 57963363480. Its totient is φ = 9159642112.

The previous prime is 24330300037. The next prime is 24330300061. The reversal of 24330300040 is 4000303342.

It can be written as a sum of positive squares in 4 ways, for example, as 16905720484 + 7424579556 = 130022^2 + 86166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24330299990 and 24330300017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17889247 + ... + 17890606.

Almost surely, 224330300040 is an apocalyptic number.

24330300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24330300040 is an abundant number, since it is smaller than the sum of its proper divisors (33633063440).

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

24330300040 is a wasteful number, since it uses less digits than its factorization.

24330300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35779881 (or 35779877 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 24330300040 its reverse (4000303342), we get a palindrome (28330603382).

The spelling of 24330300040 in words is "twenty-four billion, three hundred thirty million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 35779853 71559706 143119412 178899265 286238824 357798530 608257501 715597060 1216515002 1431194120 2433030004 3041287505 4866060008 6082575010 12165150020 24330300040