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23329984 = 261741523
BaseRepresentation
bin101100011111…
…1110011000000
31121220021201111
41120333303000
521433024414
62152013104
7402205306
oct130776300
947807644
1023329984
1112195187
127991194
134aab032
143154276
1520ac8c4
hex163fcc0

23329984 has 56 divisors (see below), whose sum is σ = 50310288. Its totient is φ = 10690560.

The previous prime is 23329979. The next prime is 23329991. The reversal of 23329984 is 48992332.

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 7 ways as a sum of consecutive naturals, for example, 44347 + ... + 44869.

It is an arithmetic number, because the mean of its divisors is an integer number (898398).

Almost surely, 223329984 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 23329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155144).

23329984 is an abundant number, since it is smaller than the sum of its proper divisors (26980304).

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

23329984 is a wasteful number, since it uses less digits than its factorization.

23329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 23329984 is about 4830.1122140174. The cubic root of 23329984 is about 285.7402894428.

The spelling of 23329984 in words is "twenty-three million, three hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 523 544 656 697 1046 1088 1312 1394 2092 2624 2788 4184 5576 8368 8891 11152 16736 17782 21443 22304 33472 35564 42886 44608 71128 85772 142256 171544 284512 343088 364531 569024 686176 729062 1372352 1458124 2916248 5832496 11664992 23329984