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3242424000 = 26353135101
BaseRepresentation
bin1100000101000011…
…0111011011000000
322100222012012112210
43001100313123000
523120030032000
61253424222120
7143231102124
oct30120673300
98328165483
103242424000
11141429a162
12765a6a940
133c89a37aa
1422a8ad584
1513e9cd350
hexc14376c0

3242424000 has 112 divisors (see below), whose sum is σ = 10706563296. Its totient is φ = 864640000.

The previous prime is 3242423999. The next prime is 3242424007. The reversal of 3242424000 is 4242423.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3242424007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43551 + ... + 91550.

Almost surely, 23242424000 is an apocalyptic number.

3242424000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3242424000 is an abundant number, since it is smaller than the sum of its proper divisors (7464139296).

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

3242424000 is a wasteful number, since it uses less digits than its factorization.

3242424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135131 (or 135111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3242424000 is about 56942.2865715805. The cubic root of 3242424000 is about 1480.0961710090.

Adding to 3242424000 its reverse (4242423), we get a palindrome (3246666423).

The spelling of 3242424000 in words is "three billion, two hundred forty-two million, four hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 135101 270202 405303 540404 675505 810606 1080808 1351010 1621212 2026515 2161616 2702020 3242424 3377525 4053030 4323232 5404040 6484848 6755050 8106060 8646464 10132575 10808080 12969696 13510100 16212120 16887625 20265150 21616160 25939392 27020200 32424240 33775250 40530300 43232320 50662875 54040400 64848480 67550500 81060600 101325750 108080800 129696960 135101000 162121200 202651500 216161600 270202000 324242400 405303000 540404000 648484800 810606000 1080808000 1621212000 3242424000