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10342080 = 26355719
BaseRepresentation
bin100111011100…
…111011000000
3201110102200000
4213130323000
510121421310
61005400000
7153622560
oct47347300
921412600
1010342080
115924181
123569000
1321b1498
141532da0
15d944c0
hex9dcec0

10342080 has 336 divisors, whose sum is σ = 44378880. Its totient is φ = 2239488.

The previous prime is 10342063. The next prime is 10342081. The reversal of 10342080 is 8024301.

It is a happy number.

10342080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544311 + ... + 544329.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

Almost surely, 210342080 is an apocalyptic number.

10342080 is a gapful number since it is divisible by the number (10) 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 10342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

10342080 is an abundant number, since it is smaller than the sum of its proper divisors (34036800).

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

10342080 is an equidigital number, since it uses as much as digits as its factorization.

10342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10342080 is about 3215.9104465143. The cubic root of 10342080 is about 217.8726074432.

Adding to 10342080 its reverse (8024301), we get a palindrome (18366381).

The spelling of 10342080 in words is "ten million, three hundred forty-two thousand, eighty".