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300412000 = 2553710729
BaseRepresentation
bin10001111001111…
…110110001100000
3202221021111210101
4101321332301200
51103401141000
645450512144
710305313510
oct2171766140
9687244711
10300412000
11144635a89
1284735654
134a3134a5
142bc7d840
151b590e6a
hex11e7ec60

300412000 has 96 divisors (see below), whose sum is σ = 843635520. Its totient is φ = 102988800.

The previous prime is 300411971. The next prime is 300412001. The reversal of 300412000 is 214003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300412001) 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, 22636 + ... + 33364.

It is an arithmetic number, because the mean of its divisors is an integer number (8787870).

Almost surely, 2300412000 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 300412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421817760).

300412000 is an abundant number, since it is smaller than the sum of its proper divisors (543223520).

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

300412000 is a wasteful number, since it uses less digits than its factorization.

300412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10761 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 300412000 is about 17332.3974106296. The cubic root of 300412000 is about 669.7392614307.

Adding to 300412000 its reverse (214003), we get a palindrome (300626003).

It can be divided in two parts, 30041 and 2000, that added together give a square (32041 = 1792).

The spelling of 300412000 in words is "three hundred million, four hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 10729 14000 21458 28000 42916 53645 75103 85832 107290 150206 171664 214580 268225 300412 343328 375515 429160 536450 600824 751030 858320 1072900 1201648 1341125 1502060 1716640 1877575 2145800 2403296 2682250 3004120 3755150 4291600 5364500 6008240 7510300 8583200 9387875 10729000 12016480 15020600 18775750 21458000 30041200 37551500 42916000 60082400 75103000 150206000 300412000