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163430640 = 243252371139
BaseRepresentation
bin10011011110111…
…00000011110000
3102101112010200200
421233130003300
5313314240030
624114515200
74023065112
oct1157340360
9371463620
10163430640
118428594a
1246895b00
1327b22129
14179c33b2
15e533d60
hex9bdc0f0

163430640 has 240 divisors, whose sum is σ = 584962560. Its totient is φ = 40803840.

The previous prime is 163430629. The next prime is 163430671. The reversal of 163430640 is 46034361.

163430640 is a `hidden beast` number, since 16 + 3 + 4 + 3 + 0 + 640 = 666.

163430640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175691 + ... + 1175829.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2163430640 is an apocalyptic number.

163430640 is a gapful number since it is divisible by the number (10) 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 163430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

163430640 is an abundant number, since it is smaller than the sum of its proper divisors (421531920).

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

163430640 is a wasteful number, since it uses less digits than its factorization.

163430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 163430640 is about 12783.9993742178. Note that the first 3 decimals coincide. The cubic root of 163430640 is about 546.7361964573.

The spelling of 163430640 in words is "one hundred sixty-three million, four hundred thirty thousand, six hundred forty".