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23142384 = 2432160711
BaseRepresentation
bin101100001000…
…1111111110000
31121112202101100
41120101333300
521411024014
62144004400
7400464336
oct130217760
947482340
1023142384
1112077241
127900700
134a43825
143105b56
152072009
hex1611ff0

23142384 has 30 divisors (see below), whose sum is σ = 64766936. Its totient is φ = 7714080.

The previous prime is 23142367. The next prime is 23142391. The reversal of 23142384 is 48324132.

23142384 is a `hidden beast` number, since 231 + 423 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 80212 + ... + 80499.

Almost surely, 223142384 is an apocalyptic number.

23142384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23142384 is an abundant number, since it is smaller than the sum of its proper divisors (41624552).

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

23142384 is a wasteful number, since it uses less digits than its factorization.

23142384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160725 (or 160716 counting only the distinct ones).

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

The square root of 23142384 is about 4810.6531781038. The cubic root of 23142384 is about 284.9723334177.

The spelling of 23142384 in words is "twenty-three million, one hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 160711 321422 482133 642844 964266 1285688 1446399 1928532 2571376 2892798 3857064 5785596 7714128 11571192 23142384