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23424768 = 28333389
BaseRepresentation
bin101100101011…
…0111100000000
31122002002202000
41121112330000
521444043033
62154024000
7403051533
oct131267400
948062660
1023424768
111224a414
127a18000
134b12213
14317aa1a
1520caa13
hex1656f00

23424768 has 72 divisors (see below), whose sum is σ = 69291600. Its totient is φ = 7805952.

The previous prime is 23424757. The next prime is 23424799. The reversal of 23424768 is 86742432.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5218 + ... + 8606.

Almost surely, 223424768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645800).

23424768 is an abundant number, since it is smaller than the sum of its proper divisors (45866832).

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

23424768 is an equidigital number, since it uses as much as digits as its factorization.

23424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3394 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 23424768 is about 4839.9140488236. The cubic root of 23424768 is about 286.1267308014.

The spelling of 23424768 in words is "twenty-three million, four hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3389 3456 6778 6912 10167 13556 20334 27112 30501 40668 54224 61002 81336 91503 108448 122004 162672 183006 216896 244008 325344 366012 433792 488016 650688 732024 867584 976032 1301376 1464048 1952064 2602752 2928096 3904128 5856192 7808256 11712384 23424768