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10334980 = 22517113269
BaseRepresentation
bin100111011011…
…001100000100
3201110001221001
4213123030010
510121204410
61005303044
7153563065
oct47331404
921401831
1010334980
115919907
123564a84
1321ab196
14153056c
15d9233a
hex9db304

10334980 has 48 divisors (see below), whose sum is σ = 23269680. Its totient is φ = 3842048.

The previous prime is 10334977. The next prime is 10335001. The reversal of 10334980 is 8943301.

It can be written as a sum of positive squares in 8 ways, for example, as 2483776 + 7851204 = 1576^2 + 2802^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38286 + ... + 38554.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 210334980 is an apocalyptic number.

10334980 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 10334980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634840).

10334980 is an abundant number, since it is smaller than the sum of its proper divisors (12934700).

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

10334980 is a wasteful number, since it uses less digits than its factorization.

10334980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10334980 is about 3214.8063705300. The cubic root of 10334980 is about 217.8227383763.

The spelling of 10334980 in words is "ten million, three hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 269 340 452 538 565 1076 1130 1345 1921 2260 2690 3842 4573 5380 7684 9146 9605 18292 19210 22865 30397 38420 45730 60794 91460 121588 151985 303970 516749 607940 1033498 2066996 2583745 5167490 10334980