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301006104 = 23373315413
BaseRepresentation
bin10001111100001…
…111110100011000
3202222101200202020
4101330033310120
51104024143404
645511334440
710313336550
oct2174176430
9688350666
10301006104
11144a01383
1284981420
134a490a29
142bd96160
151b65bed9
hex11f0fd18

301006104 has 64 divisors (see below), whose sum is σ = 862775040. Its totient is φ = 85726080.

The previous prime is 301006103. The next prime is 301006157. The reversal of 301006104 is 401600103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301006103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52902 + ... + 58314.

It is an arithmetic number, because the mean of its divisors is an integer number (13480860).

Almost surely, 2301006104 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 301006104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431387520).

301006104 is an abundant number, since it is smaller than the sum of its proper divisors (561768936).

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

301006104 is a wasteful number, since it uses less digits than its factorization.

301006104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 301006104 is about 17349.5274863611. The cubic root of 301006104 is about 670.1804696887.

Adding to 301006104 its reverse (401600103), we get a palindrome (702606207).

The spelling of 301006104 in words is "three hundred one million, six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 662 993 1324 1986 2317 2648 3972 4634 5413 6951 7944 9268 10826 13902 16239 18536 21652 27804 32478 37891 43304 55608 64956 75782 113673 129912 151564 227346 303128 454692 909384 1791703 3583406 5375109 7166812 10750218 12541921 14333624 21500436 25083842 37625763 43000872 50167684 75251526 100335368 150503052 301006104