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23500368 = 243418133
BaseRepresentation
bin101100110100…
…1011001010000
31122012221110000
41121221121100
522004002433
62155410000
7403515123
oct131513120
948187400
1023500368
11122a11a1
127a53900
134b3a758
14319a3ba
1520e3113
hex1669650

23500368 has 50 divisors (see below), whose sum is σ = 68020634. Its totient is φ = 7833024.

The previous prime is 23500363. The next prime is 23500369. The reversal of 23500368 is 86300532.

It can be written as a sum of positive squares in only one way, i.e., 19289664 + 4210704 = 4392^2 + 2052^2 .

It is a super-2 number, since 2×235003682 = 1104534592270848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23500363) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 7771 + ... + 10362.

Almost surely, 223500368 is an apocalyptic number.

It is an amenable number.

23500368 is an abundant number, since it is smaller than the sum of its proper divisors (44520266).

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

23500368 is a wasteful number, since it uses less digits than its factorization.

23500368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18153 (or 18138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23500368 is about 4847.7178135696. The cubic root of 23500368 is about 286.4342109295.

The spelling of 23500368 in words is "twenty-three million, five hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 18133 36266 54399 72532 108798 145064 163197 217596 290128 326394 435192 489591 652788 870384 979182 1305576 1468773 1958364 2611152 2937546 3916728 5875092 7833456 11750184 23500368