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300004120 = 235134313417
BaseRepresentation
bin10001111000011…
…011001100011000
3202220111210021201
4101320123030120
51103300112440
645434043544
710301664403
oct2170331430
9686453251
10300004120
11144387599
12845795b4
134a1cc940
142bbb4d3a
151b51019a
hex11e1b318

300004120 has 64 divisors (see below), whose sum is σ = 743893920. Its totient is φ = 108186624.

The previous prime is 300004087. The next prime is 300004127. The reversal of 300004120 is 21400003.

It is a super-3 number, since 3×3000041203 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 300004097 and 300004106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300004127) 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 15 ways as a sum of consecutive naturals, for example, 15652 + ... + 29068.

Almost surely, 2300004120 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 300004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371946960).

300004120 is an abundant number, since it is smaller than the sum of its proper divisors (443889800).

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

300004120 is a wasteful number, since it uses less digits than its factorization.

300004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13484 (or 13480 counting only the distinct ones).

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

The square root of 300004120 is about 17320.6270094359. The cubic root of 300004120 is about 669.4360145834.

Adding to 300004120 its reverse (21400003), we get a palindrome (321404123).

The spelling of 300004120 in words is "three hundred million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 13417 22360 26834 53668 67085 107336 134170 174421 268340 348842 536680 576931 697684 872105 1153862 1395368 1744210 2307724 2884655 3488420 4615448 5769310 6976840 7500103 11538620 15000206 23077240 30000412 37500515 60000824 75001030 150002060 300004120