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23688432 = 2432164503
BaseRepresentation
bin101101001011…
…1010011110000
31122120111102100
41122113103300
522031012212
62203420400
7405230325
oct132272360
948514370
1023688432
111240a519
127b24700
134ba5231
143208b4c
15212dbdc
hex16974f0

23688432 has 30 divisors (see below), whose sum is σ = 66295112. Its totient is φ = 7896096.

The previous prime is 23688419. The next prime is 23688437. The reversal of 23688432 is 23488632.

It is a super-2 number, since 2×236884322 = 1122283621237248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23688437) 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 5 ways as a sum of consecutive naturals, for example, 82108 + ... + 82395.

Almost surely, 223688432 is an apocalyptic number.

It is an amenable number.

23688432 is an abundant number, since it is smaller than the sum of its proper divisors (42606680).

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

23688432 is a wasteful number, since it uses less digits than its factorization.

23688432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164517 (or 164508 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 23688432 is about 4867.0763297898. The cubic root of 23688432 is about 287.1962543771.

The spelling of 23688432 in words is "twenty-three million, six hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 164503 329006 493509 658012 987018 1316024 1480527 1974036 2632048 2961054 3948072 5922108 7896144 11844216 23688432