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23378000 = 245311689
BaseRepresentation
bin101100100101…
…1100001010000
31121222201120212
41121023201100
521441044000
62153023252
7402465302
oct131134120
947881525
1023378000
1112218268
1279b4b28
134ac6b49
143167972
1520bbc35
hex164b850

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".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11689 23378 46756 58445 93512 116890 187024 233780 292225 467560 584450 935120 1168900 1461125 2337800 2922250 4675600 5844500 11689000 23378000