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304130430324 = 223372232498689
BaseRepresentation
bin1000110110011111001…
…01100001010101110100
31002002000101001121222000
410123033211201111310
514440324342232244
6351414322335300
730654431001300
oct4331745412564
91062011047860
10304130430324
11107a87776786
124ab387ba530
13228aa789916
1410a11928d00
157da00ea169
hex46cf961574

304130430324 has 144 divisors (see below), whose sum is σ = 957098217600. Its totient is φ = 83116357632.

The previous prime is 304130430323. The next prime is 304130430391. The reversal of 304130430324 is 423034031403.

304130430324 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 304 + 30 + 324 = 666.

It is a super-2 number, since 2×3041304303242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304130430323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127629 + ... + 1371060.

It is an arithmetic number, because the mean of its divisors is an integer number (6646515400).

Almost surely, 2304130430324 is an apocalyptic number.

It is an amenable number.

304130430324 is an abundant number, since it is smaller than the sum of its proper divisors (652967787276).

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

304130430324 is a wasteful number, since it uses less digits than its factorization.

304130430324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498739 (or 2498724 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 304130430324 its reverse (423034031403), we get a palindrome (727164461727).

The spelling of 304130430324 in words is "three hundred four billion, one hundred thirty million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 108 126 138 147 161 189 196 207 252 276 294 322 378 414 441 483 588 621 644 756 828 882 966 1127 1242 1323 1449 1764 1932 2254 2484 2646 2898 3381 4347 4508 5292 5796 6762 8694 10143 13524 17388 20286 30429 40572 60858 121716 2498689 4997378 7496067 9994756 14992134 17490823 22488201 29984268 34981646 44976402 52472469 57469847 67464603 69963292 89952804 104944938 114939694 122435761 134929206 157417407 172409541 209889876 229879388 244871522 269858412 314834814 344819082 367307283 402288929 472252221 489743044 517228623 629669628 689638164 734614566 804577858 944504442 1034457246 1101921849 1206866787 1469229132 1551685869 1609155716 1889008884 2068914492 2203843698 2413733574 2816022503 3103371738 3305765547 3620600361 4407687396 4827467148 5632045006 6206743476 6611531094 7241200722 8448067509 10861801083 11264090012 13223062188 14482401444 16896135018 21723602166 25344202527 33792270036 43447204332 50688405054 76032607581 101376810108 152065215162 304130430324