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3030100 = 2252157193
BaseRepresentation
bin1011100011110001010100
312200221111221
423203301110
51233430400
6144540124
734520053
oct13436124
95627457
103030100
11178a617
121021644
13821278
1458c39a
153ecc1a
hex2e3c54

3030100 has 36 divisors (see below), whose sum is σ = 6651484. Its totient is φ = 1198080.

The previous prime is 3030047. The next prime is 3030107. The reversal of 3030100 is 10303.

It is a happy number.

3030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 425104 + 2604996 = 652^2 + 1614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030107) 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 11 ways as a sum of consecutive naturals, for example, 15604 + ... + 15796.

Almost surely, 23030100 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 3030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325742).

3030100 is an abundant number, since it is smaller than the sum of its proper divisors (3621384).

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

3030100 is a wasteful number, since it uses less digits than its factorization.

3030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 3030100 is about 1740.7182425654. The cubic root of 3030100 is about 144.7057051188.

Adding to 3030100 its reverse (10303), we get a palindrome (3040403).

The spelling of 3030100 in words is "three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 193 314 386 628 772 785 965 1570 1930 3140 3860 3925 4825 7850 9650 15700 19300 30301 60602 121204 151505 303010 606020 757525 1515050 3030100