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10340900 = 2252103409
BaseRepresentation
bin100111011100…
…101000100100
3201110101001022
4213130220210
510121402100
61005350312
7153616253
oct47345044
921411038
1010340900
1159232a9
123568398
1321b0a9b
14153279a
15d93e85
hex9dca24

10340900 has 18 divisors (see below), whose sum is σ = 22439970. Its totient is φ = 4136320.

The previous prime is 10340881. The next prime is 10340917. The reversal of 10340900 is 904301.

It can be written as a sum of positive squares in 3 ways, for example, as 556516 + 9784384 = 746^2 + 3128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51605 + ... + 51804.

It is an arithmetic number, because the mean of its divisors is an integer number (1246665).

Almost surely, 210340900 is an apocalyptic number.

10340900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340900 is an abundant number, since it is smaller than the sum of its proper divisors (12099070).

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

10340900 is a wasteful number, since it uses less digits than its factorization.

10340900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103423 (or 103416 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10340900 is about 3215.7269784607. The cubic root of 10340900 is about 217.8643209265.

The spelling of 10340900 in words is "ten million, three hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103409 206818 413636 517045 1034090 2068180 2585225 5170450 10340900