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424570320 = 24325589681
BaseRepresentation
bin11001010011100…
…110110111010000
31002120220101222200
4121103212313100
51332142222240
6110044003200
713343534226
oct3123466720
91076811880
10424570320
111a8727a69
12ba230500
1369c65055
144055cb16
1527418930
hex194e6dd0

424570320 has 60 divisors (see below), whose sum is σ = 1425851076. Its totient is φ = 113218560.

The previous prime is 424570319. The next prime is 424570331. The reversal of 424570320 is 23075424.

It can be written as a sum of positive squares in 2 ways, for example, as 128867904 + 295702416 = 11352^2 + 17196^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294121 + ... + 295560.

Almost surely, 2424570320 is an apocalyptic number.

424570320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424570320 is an abundant number, since it is smaller than the sum of its proper divisors (1001280756).

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

424570320 is a wasteful number, since it uses less digits than its factorization.

424570320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589700 (or 589691 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 424570320 is about 20605.1042220126. The cubic root of 424570320 is about 751.5938371781.

The spelling of 424570320 in words is "four hundred twenty-four million, five hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 589681 1179362 1769043 2358724 2948405 3538086 4717448 5307129 5896810 7076172 8845215 9434896 10614258 11793620 14152344 17690430 21228516 23587240 26535645 28304688 35380860 42457032 47174480 53071290 70761720 84914064 106142580 141523440 212285160 424570320