Base | Representation |
---|---|
bin | 101100100101… |
… | …1100001010000 |
3 | 1121222201120212 |
4 | 1121023201100 |
5 | 21441044000 |
6 | 2153023252 |
7 | 402465302 |
oct | 131134120 |
9 | 47881525 |
10 | 23378000 |
11 | 12218268 |
12 | 79b4b28 |
13 | 4ac6b49 |
14 | 3167972 |
15 | 20bbc35 |
hex | 164b850 |
23378000 has 40 divisors (see below), whose sum is σ = 56532840. Its totient is φ = 9350400.
The previous prime is 23377979. The next prime is 23378011. The reversal of 23378000 is 87332.
It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 22963264 = 644^2 + 4792^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3845 + ... + 7844.
It is an arithmetic number, because the mean of its divisors is an integer number (1413321).
Almost surely, 223378000 is an apocalyptic number.
23378000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23378000 is an abundant number, since it is smaller than the sum of its proper divisors (33154840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23378000 is a wasteful number, since it uses less digits than its factorization.
23378000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11712 (or 11696 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 23.
The square root of 23378000 is about 4835.0801441134. The cubic root of 23378000 is about 285.9361847611.
The spelling of 23378000 in words is "twenty-three million, three hundred seventy-eight thousand".
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