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30031300 = 22521321777
BaseRepresentation
bin111001010001…
…1110111000100
32002111202012101
41302203313010
530142000200
62551401444
7513155545
oct162436704
962452171
1030031300
1115a51a62
12a083284
1362b6300
143dba4cc
15298326a
hex1ca3dc4

30031300 has 54 divisors (see below), whose sum is σ = 70606158. Its totient is φ = 11082240.

The previous prime is 30031277. The next prime is 30031301. The reversal of 30031300 is 313003.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 19061956 + 10969344 = 4366^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (30031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16012 + ... + 17788.

Almost surely, 230031300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35303079).

30031300 is an abundant number, since it is smaller than the sum of its proper divisors (40574858).

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

30031300 is a wasteful number, since it uses less digits than its factorization.

30031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 30031300 is about 5480.0821161731. The cubic root of 30031300 is about 310.8312756770.

Adding to 30031300 its reverse (313003), we get a palindrome (30344303).

The spelling of 30031300 in words is "thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 1777 3380 3554 4225 7108 8450 8885 16900 17770 23101 35540 44425 46202 88850 92404 115505 177700 231010 300313 462020 577525 600626 1155050 1201252 1501565 2310100 3003130 6006260 7507825 15015650 30031300