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300384420 = 223573123071
BaseRepresentation
bin10001111001111…
…000000010100100
3202221020002221220
4101321320002210
51103344300140
645450140340
710305140220
oct2171700244
9687202856
10300384420
11144617296
12847216b0
134a303a7b
142bc73780
151b587bd0
hex11e780a4

300384420 has 96 divisors (see below), whose sum is σ = 992280576. Its totient is φ = 66441600.

The previous prime is 300384391. The next prime is 300384449. The reversal of 300384420 is 24483003.

It is an interprime number because it is at equal distance from previous prime (300384391) and next prime (300384449).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (10336256).

Almost surely, 2300384420 is an apocalyptic number.

300384420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496140288).

300384420 is an abundant number, since it is smaller than the sum of its proper divisors (691896156).

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

300384420 is a wasteful number, since it uses less digits than its factorization.

300384420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23121 (or 23119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 300384420 is about 17331.6017724849. The cubic root of 300384420 is about 669.7187651632.

The spelling of 300384420 in words is "three hundred million, three hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 23071 46142 69213 92284 115355 138426 161497 230710 276852 322994 346065 461420 484491 645988 692130 715201 807485 968982 1384260 1430402 1614970 1937964 2145603 2422455 2860804 3229940 3576005 4291206 4844910 5006407 7152010 8582412 9689820 10012814 10728015 14304020 15019221 20025628 21456030 25032035 30038442 42912060 50064070 60076884 75096105 100128140 150192210 300384420