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30301000 = 2353157193
BaseRepresentation
bin111001110010…
…1101101001000
32010000110011021
41303211231020
530224113000
63001242224
7515361052
oct163455510
963013137
1030301000
1116116654
12a193374
13637bcb2
14404a8d2
1529d811a
hex1ce5b48

30301000 has 64 divisors (see below), whose sum is σ = 71725680. Its totient is φ = 11980800.

The previous prime is 30300997. The next prime is 30301013. The reversal of 30301000 is 10303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 116964 + 30184036 = 342^2 + 5494^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 156904 + ... + 157096.

Almost surely, 230301000 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 30301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35862840).

30301000 is an abundant number, since it is smaller than the sum of its proper divisors (41424680).

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

30301000 is a wasteful number, since it uses less digits than its factorization.

30301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

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

The square root of 30301000 is about 5504.6344111121. The cubic root of 30301000 is about 311.7589909534.

Adding to 30301000 its reverse (10303), we get a palindrome (30311303).

The spelling of 30301000 in words is "thirty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 193 200 250 314 386 500 628 772 785 965 1000 1256 1544 1570 1930 3140 3860 3925 4825 6280 7720 7850 9650 15700 19300 19625 24125 30301 31400 38600 39250 48250 60602 78500 96500 121204 151505 157000 193000 242408 303010 606020 757525 1212040 1515050 3030100 3787625 6060200 7575250 15150500 30301000