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304122300330 = 235235328012969
BaseRepresentation
bin1000110110011110001…
…10100000011110101010
31002001222210202120201010
410123033012200132222
514440320302102310
6351413432204350
730654301620552
oct4331706403652
91061883676633
10304122300330
11107a83123582
124ab35b396b6
13228a8ba1284
1410a10810162
157d9e541320
hex46cf1a07aa

304122300330 has 128 divisors (see below), whose sum is σ = 776536865280. Its totient is φ = 76056780800.

The previous prime is 304122300329. The next prime is 304122300331. The reversal of 304122300330 is 33003221403.

It is an interprime number because it is at equal distance from previous prime (304122300329) and next prime (304122300331).

It is a junction number, because it is equal to n+sod(n) for n = 304122300297 and 304122300306.

It is not an unprimeable number, because it can be changed into a prime (304122300331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102431086 + ... + 102434054.

It is an arithmetic number, because the mean of its divisors is an integer number (6066694260).

Almost surely, 2304122300330 is an apocalyptic number.

304122300330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304122300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388268432640).

304122300330 is an abundant number, since it is smaller than the sum of its proper divisors (472414564950).

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

304122300330 is a wasteful number, since it uses less digits than its factorization.

304122300330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 304122300330 its reverse (33003221403), we get a palindrome (337125521733).

The spelling of 304122300330 in words is "three hundred four billion, one hundred twenty-two million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 53 69 106 115 138 159 230 265 318 345 530 690 795 1219 1590 2438 2801 2969 3657 5602 5938 6095 7314 8403 8907 12190 14005 14845 16806 17814 18285 28010 29690 36570 42015 44535 64423 68287 84030 89070 128846 136574 148453 157357 193269 204861 296906 314714 322115 341435 386538 409722 445359 472071 644230 682870 742265 786785 890718 944142 966345 1024305 1484530 1573570 1932690 2048610 2226795 2360355 3414419 3619211 4453590 4720710 6828838 7238422 8316169 10243257 10857633 16632338 17072095 18096055 20486514 21715266 24948507 34144190 36192110 41580845 49897014 51216285 54288165 83161690 102432570 108576330 124742535 191271887 249485070 382543774 440756957 573815661 881513914 956359435 1147631322 1322270871 1912718870 2203784785 2644541742 2869078305 4407569570 5738156610 6611354355 10137410011 13222708710 20274820022 30412230033 50687050055 60824460066 101374100110 152061150165 304122300330