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23723328 = 263157787
BaseRepresentation
bin101101001111…
…1110101000000
31122122021021210
41122133311000
522033121303
62204250120
7405434136
oct132376500
948567253
1023723328
1112433762
127b40940
134bb8095
143217756
152139203
hex169fd40

23723328 has 56 divisors (see below), whose sum is σ = 63248032. Its totient is φ = 7847424.

The previous prime is 23723311. The next prime is 23723377. The reversal of 23723328 is 82332732.

It is a junction number, because it is equal to n+sod(n) for n = 23723295 and 23723304.

It is a congruent number.

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, 29751 + ... + 30537.

Almost surely, 223723328 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 23723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31624016).

23723328 is an abundant number, since it is smaller than the sum of its proper divisors (39524704).

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

23723328 is a wasteful number, since it uses less digits than its factorization.

23723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 23723328 is about 4870.6599142211. The cubic root of 23723328 is about 287.3372104254.

The spelling of 23723328 in words is "twenty-three million, seven hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 787 942 1256 1574 1884 2361 2512 3148 3768 4722 5024 6296 7536 9444 10048 12592 15072 18888 25184 30144 37776 50368 75552 123559 151104 247118 370677 494236 741354 988472 1482708 1976944 2965416 3953888 5930832 7907776 11861664 23723328