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10300444 = 2271153631
BaseRepresentation
bin100111010010…
…110000011100
3201101022112221
4213102300130
510114103234
61004435124
7153360310
oct47226034
921338487
1010300444
1158a5970
123548aa4
13219854b
141521b40
15d86eb4
hex9d2c1c

10300444 has 48 divisors (see below), whose sum is σ = 22934016. Its totient is φ = 3931200.

The previous prime is 10300429. The next prime is 10300447. The reversal of 10300444 is 44400301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300447) by changing a digit.

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, 16009 + ... + 16639.

It is an arithmetic number, because the mean of its divisors is an integer number (477792).

Almost surely, 210300444 is an apocalyptic number.

10300444 is a gapful number since it is divisible by the number (14) 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 10300444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467008).

10300444 is an abundant number, since it is smaller than the sum of its proper divisors (12633572).

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

10300444 is a wasteful number, since it uses less digits than its factorization.

10300444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10300444 is about 3209.4304790726. The cubic root of 10300444 is about 217.5798376918.

Adding to 10300444 its reverse (44400301), we get a palindrome (54700745).

The spelling of 10300444 in words is "ten million, three hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 631 742 1166 1262 1484 2332 2524 4081 4417 6941 8162 8834 13882 16324 17668 27764 33443 48587 66886 97174 133772 194348 234101 367873 468202 735746 936404 1471492 2575111 5150222 10300444