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300310020 = 223253153819
BaseRepresentation
bin10001111001100…
…101111000000100
3202221002022220100
4101321211320010
51103334410040
645444404100
710304410263
oct2171457004
9687068810
10300310020
111445763aa
12846a6630
134a2a8c4a
142bc545da
151b570b30
hex11e65e04

300310020 has 72 divisors (see below), whose sum is σ = 940343040. Its totient is φ = 77497920.

The previous prime is 300310007. The next prime is 300310061. The reversal of 300310020 is 20013003.

It is a happy number.

It is a super-2 number, since 2×3003100202 = 180372216224800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 300309984 and 300310011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21330 + ... + 32489.

It is an arithmetic number, because the mean of its divisors is an integer number (13060320).

Almost surely, 2300310020 is an apocalyptic number.

300310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300310020 is an abundant number, since it is smaller than the sum of its proper divisors (640033020).

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

300310020 is a wasteful number, since it uses less digits than its factorization.

300310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53865 (or 53860 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 300310020 is about 17329.4552713004. The cubic root of 300310020 is about 669.6634680315.

Adding to 300310020 its reverse (20013003), we get a palindrome (320323023).

The spelling of 300310020 in words is "three hundred million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 53819 107638 161457 215276 269095 322914 484371 538190 645828 807285 968742 1076380 1614570 1668389 1937484 2421855 3229140 3336778 4843710 5005167 6673556 8341945 9687420 10010334 15015501 16683890 20020668 25025835 30031002 33367780 50051670 60062004 75077505 100103340 150155010 300310020