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23344672 = 2513173301
BaseRepresentation
bin101100100001…
…1011000100000
31121221000212111
41121003120200
521434012142
62152205104
7402266161
oct131033040
947830774
1023344672
11121a521a
127999794
134ab4920
143159768
1520b1e17
hex1643620

23344672 has 48 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 10137600.

The previous prime is 23344667. The next prime is 23344679. The reversal of 23344672 is 27644332.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 7376656 = 3996^2 + 2716^2 .

It is not an unprimeable number, because it can be changed into a prime (23344679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5422 + ... + 8722.

Almost surely, 223344672 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 23344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).

23344672 is an abundant number, since it is smaller than the sum of its proper divisors (29077880).

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

23344672 is a wasteful number, since it uses less digits than its factorization.

23344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3333 counting only the distinct ones).

The product of its digits is 24192, while the sum is 31.

The square root of 23344672 is about 4831.6324363511. The cubic root of 23344672 is about 285.8002419473.

The spelling of 23344672 in words is "twenty-three million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3301 3536 6602 7072 13204 26408 42913 52816 56117 85826 105632 112234 171652 224468 343304 448936 686608 729521 897872 1373216 1459042 1795744 2918084 5836168 11672336 23344672