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300020328 = 23332814943
BaseRepresentation
bin10001111000011…
…111001001101000
3202220112121112000
4101320133021220
51103301122303
645434251000
710302062556
oct2170371150
9686477460
10300020328
11144398793
1284586a60
134a20712a
142bbbabd6
151b514da3
hex11e1f268

300020328 has 64 divisors (see below), whose sum is σ = 836524800. Its totient is φ = 99630720.

The previous prime is 300020327. The next prime is 300020359. The reversal of 300020328 is 823020003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 300020328.

It is not an unprimeable number, because it can be changed into a prime (300020323) 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, 58225 + ... + 63167.

It is an arithmetic number, because the mean of its divisors is an integer number (13070700).

Almost surely, 2300020328 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 300020328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418262400).

300020328 is an abundant number, since it is smaller than the sum of its proper divisors (536504472).

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

300020328 is a wasteful number, since it uses less digits than its factorization.

300020328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 300020328 is about 17321.0948845620. The cubic root of 300020328 is about 669.4480699996.

The spelling of 300020328 in words is "three hundred million, twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 281 562 843 1124 1686 2248 2529 3372 4943 5058 6744 7587 9886 10116 14829 15174 19772 20232 29658 30348 39544 44487 59316 60696 88974 118632 133461 177948 266922 355896 533844 1067688 1388983 2777966 4166949 5555932 8333898 11111864 12500847 16667796 25001694 33335592 37502541 50003388 75005082 100006776 150010164 300020328