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23870384 = 2419233337
BaseRepresentation
bin101101100001…
…1101110110000
31122220202000022
41123003232300
522102323014
62211343012
7406615646
oct133035660
948822008
1023870384
111252419a
127bb1a68
134c39cb5
143255196
152167a8e
hex16c3bb0

23870384 has 40 divisors (see below), whose sum is σ = 49037040. Its totient is φ = 11225088.

The previous prime is 23870383. The next prime is 23870387. The reversal of 23870384 is 48307832.

It is not an unprimeable number, because it can be changed into a prime (23870381) 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 7 ways as a sum of consecutive naturals, for example, 70664 + ... + 71000.

It is an arithmetic number, because the mean of its divisors is an integer number (1225926).

Almost surely, 223870384 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 23870384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24518520).

23870384 is an abundant number, since it is smaller than the sum of its proper divisors (25166656).

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

23870384 is a wasteful number, since it uses less digits than its factorization.

23870384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 23870384 is about 4885.7326983780. The cubic root of 23870384 is about 287.9297024928.

The spelling of 23870384 in words is "twenty-three million, eight hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 152 233 304 337 466 674 932 1348 1864 2696 3728 4427 5392 6403 8854 12806 17708 25612 35416 51224 70832 78521 102448 157042 314084 628168 1256336 1491899 2983798 5967596 11935192 23870384