Base | Representation |
---|---|
bin | 101100100010… |
… | …1110100010000 |
3 | 1121221112112200 |
4 | 1121011310100 |
5 | 21434322030 |
6 | 2152323200 |
7 | 402340221 |
oct | 131056420 |
9 | 47845480 |
10 | 23354640 |
11 | 12201761 |
12 | 79a3500 |
13 | 4ab931a |
14 | 315d248 |
15 | 20b4d60 |
hex | 1645d10 |
23354640 has 120 divisors (see below), whose sum is σ = 79310400. Its totient is φ = 6158592.
The previous prime is 23354621. The next prime is 23354647. The reversal of 23354640 is 4645332.
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (23354647) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117261 + ... + 117459.
It is an arithmetic number, because the mean of its divisors is an integer number (660920).
Almost surely, 223354640 is an apocalyptic number.
23354640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39655200).
23354640 is an abundant number, since it is smaller than the sum of its proper divisors (55955760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23354640 is a wasteful number, since it uses less digits than its factorization.
23354640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 381 (or 372 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 27.
The square root of 23354640 is about 4832.6638616813. The cubic root of 23354640 is about 285.8409143461.
Adding to 23354640 its reverse (4645332), we get a palindrome (27999972).
It can be divided in two parts, 233546 and 40, that added together give a triangular number (233586 = T683).
The spelling of 23354640 in words is "twenty-three million, three hundred fifty-four thousand, six hundred forty".
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