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23348256 = 2531072273
BaseRepresentation
bin101100100010…
…0010000100000
31121221012210020
41121010100200
521434121011
62152233440
7402312501
oct131042040
947835706
1023348256
11121a7988
12799b880
134ab6449
14315aba8
1520b3006
hex1644420

23348256 has 48 divisors (see below), whose sum is σ = 61889184. Its totient is φ = 7706624.

The previous prime is 23348251. The next prime is 23348263. The reversal of 23348256 is 65284332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (23348251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9136 + ... + 11408.

It is an arithmetic number, because the mean of its divisors is an integer number (1289358).

Almost surely, 223348256 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 23348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30944592).

23348256 is an abundant number, since it is smaller than the sum of its proper divisors (38540928).

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

23348256 is a wasteful number, since it uses less digits than its factorization.

23348256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 23348256 is about 4832.0033112571. The cubic root of 23348256 is about 285.8148670639.

The spelling of 23348256 in words is "twenty-three million, three hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2273 2568 3424 4546 5136 6819 9092 10272 13638 18184 27276 36368 54552 72736 109104 218208 243211 486422 729633 972844 1459266 1945688 2918532 3891376 5837064 7782752 11674128 23348256