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423184320 = 263251389127
BaseRepresentation
bin11001001110010…
…100011111000000
31002111021222202100
4121032110133000
51331313344240
6105554150400
713326002346
oct3116243700
91074258670
10423184320
111a7970709
12b9882400
136989b230
14402bb996
1527242e30
hex193947c0

423184320 has 336 divisors, whose sum is σ = 1597639680. Its totient is φ = 102187008.

The previous prime is 423184319. The next prime is 423184331. The reversal of 423184320 is 23481324.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3332097 + ... + 3332223.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2423184320 is an apocalyptic number.

423184320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

423184320 is an abundant number, since it is smaller than the sum of its proper divisors (1174455360).

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

423184320 is a wasteful number, since it uses less digits than its factorization.

423184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 423184320 is about 20571.4442857083. Note that the first 3 decimals coincide. The cubic root of 423184320 is about 750.7750920338.

The spelling of 423184320 in words is "four hundred twenty-three million, one hundred eighty-four thousand, three hundred twenty".