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24040434340 = 2251392463209
BaseRepresentation
bin10110011000111010…
…111110101010100100
32022001102022121012001
4112120322332222210
5343213322344330
615013301535044
71510513214566
oct263072765244
968042277161
1024040434340
11a21722015a
1247ab114484
1323617b57a0
141240b63336
1595a82b9ca
hex598ebeaa4

24040434340 has 24 divisors (see below), whose sum is σ = 54368367480. Its totient is φ = 8876467968.

The previous prime is 24040434331. The next prime is 24040434347. The reversal of 24040434340 is 4343404042.

It can be written as a sum of positive squares in 4 ways, for example, as 1186251364 + 22854182976 = 34442^2 + 151176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24040434299 and 24040434308.

It is not an unprimeable number, because it can be changed into a prime (24040434347) 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 7 ways as a sum of consecutive naturals, for example, 46231345 + ... + 46231864.

It is an arithmetic number, because the mean of its divisors is an integer number (2265348645).

Almost surely, 224040434340 is an apocalyptic number.

24040434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24040434340 is an abundant number, since it is smaller than the sum of its proper divisors (30327933140).

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

24040434340 is a wasteful number, since it uses less digits than its factorization.

24040434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92463231 (or 92463229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 24040434340 its reverse (4343404042), we get a palindrome (28383838382).

The spelling of 24040434340 in words is "twenty-four billion, forty million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 92463209 184926418 369852836 462316045 924632090 1202021717 1849264180 2404043434 4808086868 6010108585 12020217170 24040434340