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24006334240 = 255721434227
BaseRepresentation
bin10110010110111000…
…111001011100100000
32021222001011010122101
4112112320321130200
5343131110143430
615010043020144
71506620321440
oct262670713440
967861133571
1024006334240
11a1a9a4a259
12479b80a654
132357706505
14123a408120
15957842dca
hex596e39720

24006334240 has 48 divisors (see below), whose sum is σ = 64817105472. Its totient is φ = 8230742784.

The previous prime is 24006334217. The next prime is 24006334273. The reversal of 24006334240 is 4243360042.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 24006334199 and 24006334208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10715994 + ... + 10718233.

It is an arithmetic number, because the mean of its divisors is an integer number (1350356364).

Almost surely, 224006334240 is an apocalyptic number.

24006334240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24006334240 is an abundant number, since it is smaller than the sum of its proper divisors (40810771232).

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

24006334240 is a wasteful number, since it uses less digits than its factorization.

24006334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21434249 (or 21434241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 24006334240 its reverse (4243360042), we get a palindrome (28249694282).

The spelling of 24006334240 in words is "twenty-four billion, six million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 21434227 42868454 85736908 107171135 150039589 171473816 214342270 300079178 342947632 428684540 600158356 685895264 750197945 857369080 1200316712 1500395890 1714738160 2400633424 3000791780 3429476320 4801266848 6001583560 12003167120 24006334240