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330234324 = 223723743353
BaseRepresentation
bin10011101011101…
…111100111010100
3212000101122022220
4103223233213110
51134014444244
652434022340
711116642200
oct2353574724
9760348286
10330234324
1115a454a32
12927179b0
1353555634
1431c03b00
151ded2319
hex13aef9d4

330234324 has 144 divisors (see below), whose sum is σ = 944653248. Its totient is φ = 89413632.

The previous prime is 330234323. The next prime is 330234343. The reversal of 330234324 is 423432033.

It is a junction number, because it is equal to n+sod(n) for n = 330234294 and 330234303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330234323) 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, 935332 + ... + 935684.

It is an arithmetic number, because the mean of its divisors is an integer number (6560092).

Almost surely, 2330234324 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 330234324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472326624).

330234324 is an abundant number, since it is smaller than the sum of its proper divisors (614418924).

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

330234324 is a wasteful number, since it uses less digits than its factorization.

330234324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 330234324 is about 18172.3505359103. The cubic root of 330234324 is about 691.2058477381.

Adding to 330234324 its reverse (423432033), we get a palindrome (753666357).

The spelling of 330234324 in words is "three hundred thirty million, two hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 43 49 74 84 86 98 111 129 147 148 172 196 222 258 259 294 301 353 444 516 518 588 602 706 777 903 1036 1059 1204 1412 1554 1591 1806 1813 2107 2118 2471 3108 3182 3612 3626 4214 4236 4773 4942 5439 6321 6364 7252 7413 8428 9546 9884 10878 11137 12642 13061 14826 15179 17297 19092 21756 22274 25284 26122 29652 30358 33411 34594 39183 44548 45537 51891 52244 60716 66822 69188 77959 78366 91074 91427 103782 106253 133644 155918 156732 182148 182854 207564 212506 233877 274281 311836 318759 365708 425012 467754 548562 561623 637518 639989 743771 935508 1097124 1123246 1275036 1279978 1487542 1684869 1919967 2231313 2246492 2559956 2975084 3369738 3839934 3931361 4462626 6739476 7679868 7862722 8925252 11794083 15725444 23588166 27519527 47176332 55039054 82558581 110078108 165117162 330234324