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23388064 = 257263397
BaseRepresentation
bin101100100110…
…1111110100000
31122000020101121
41121031332200
521441404224
62153142024
7402536530
oct131157640
948006347
1023388064
1112224887
1279ba914
134acb5bb
14316b4c0
1520bebe4
hex164dfa0

23388064 has 48 divisors (see below), whose sum is σ = 52956288. Its totient is φ = 9960192.

The previous prime is 23388061. The next prime is 23388089. The reversal of 23388064 is 46088332.

It is not an unprimeable number, because it can be changed into a prime (23388061) 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, 58714 + ... + 59110.

It is an arithmetic number, because the mean of its divisors is an integer number (1103256).

Almost surely, 223388064 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 23388064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26478144).

23388064 is an abundant number, since it is smaller than the sum of its proper divisors (29568224).

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

23388064 is a wasteful number, since it uses less digits than its factorization.

23388064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 23388064 is about 4836.1207594517. The cubic root of 23388064 is about 285.9772097836.

The spelling of 23388064 in words is "twenty-three million, three hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 263 397 526 794 1052 1588 1841 2104 2779 3176 3682 4208 5558 6352 7364 8416 11116 12704 14728 22232 29456 44464 58912 88928 104411 208822 417644 730877 835288 1461754 1670576 2923508 3341152 5847016 11694032 23388064