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304013220 = 223572712671
BaseRepresentation
bin10010000111101…
…101111110100100
3210012001110201220
4102013231332210
51110311410340
650100020340
710351032630
oct2207557644
9705043656
10304013220
111466756a5
12859916b0
134aca46a4
142c539dc0
151ba52ed0
hex121edfa4

304013220 has 96 divisors (see below), whose sum is σ = 976797696. Its totient is φ = 69206400.

The previous prime is 304013219. The next prime is 304013221. The reversal of 304013220 is 22310403.

It is an interprime number because it is at equal distance from previous prime (304013219) and next prime (304013221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 304013220.

It is not an unprimeable number, because it can be changed into a prime (304013221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112485 + ... + 115155.

It is an arithmetic number, because the mean of its divisors is an integer number (10174976).

Almost surely, 2304013220 is an apocalyptic number.

304013220 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 304013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488398848).

304013220 is an abundant number, since it is smaller than the sum of its proper divisors (672784476).

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

304013220 is a wasteful number, since it uses less digits than its factorization.

304013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 304013220 is about 17435.9748795414. The cubic root of 304013220 is about 672.4048279981.

Adding to 304013220 its reverse (22310403), we get a palindrome (326323623).

The spelling of 304013220 in words is "three hundred four million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1355 1626 1897 2671 2710 3252 3794 4065 5342 5420 5691 7588 8013 8130 9485 10684 11382 13355 16026 16260 18697 18970 22764 26710 28455 32052 37394 37940 40065 53420 56091 56910 74788 80130 93485 112182 113820 160260 186970 224364 280455 373940 560910 723841 1121820 1447682 2171523 2895364 3619205 4343046 5066887 7238410 8686092 10133774 10857615 14476820 15200661 20267548 21715230 25334435 30401322 43430460 50668870 60802644 76003305 101337740 152006610 304013220