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304303120 = 24511595861
BaseRepresentation
bin10010001000110…
…100110000010000
3210012121012101221
4102020310300100
51110400144440
650110134424
710353351052
oct2210646020
9705535357
10304303120
11146853490
1285ab1414
134b076624
142c5b38d2
151baadd4a
hex12234c10

304303120 has 80 divisors (see below), whose sum is σ = 785039040. Its totient is φ = 108761600.

The previous prime is 304303093. The next prime is 304303121. The reversal of 304303120 is 21303403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 304303094 and 304303103.

It is not an unprimeable number, because it can be changed into a prime (304303121) 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, 48990 + ... + 54850.

It is an arithmetic number, because the mean of its divisors is an integer number (9812988).

Almost surely, 2304303120 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 304303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392519520).

304303120 is an abundant number, since it is smaller than the sum of its proper divisors (480735920).

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

304303120 is a wasteful number, since it uses less digits than its factorization.

304303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 304303120 is about 17444.2861705488. The cubic root of 304303120 is about 672.6184900138.

Adding to 304303120 its reverse (21303403), we get a palindrome (325606523).

The spelling of 304303120 in words is "three hundred four million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 5861 6490 10384 11722 12980 23444 25960 29305 46888 51920 58610 64471 93776 117220 128942 234440 257884 322355 345799 468880 515768 644710 691598 1031536 1289420 1383196 1728995 2578840 2766392 3457990 3803789 5157680 5532784 6915980 7607578 13831960 15215156 19018945 27663920 30430312 38037890 60860624 76075780 152151560 304303120