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330442320 = 24351328147
BaseRepresentation
bin10011101100100…
…010011001010000
3212000210012122110
4103230202121100
51134043123240
652442305320
711121466455
oct2354423120
9760705573
10330442320
1115a58722a
12927b8240
13535c9200
1431c5982c
151e023c80
hex13b22650

330442320 has 120 divisors (see below), whose sum is σ = 1109366496. Its totient is φ = 81329664.

The previous prime is 330442313. The next prime is 330442349. The reversal of 330442320 is 23244033.

330442320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36487 + ... + 44633.

Almost surely, 2330442320 is an apocalyptic number.

330442320 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 330442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554683248).

330442320 is an abundant number, since it is smaller than the sum of its proper divisors (778924176).

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

330442320 is a wasteful number, since it uses less digits than its factorization.

330442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 330442320 is about 18178.0725050815. The cubic root of 330442320 is about 691.3509344919.

Adding to 330442320 its reverse (23244033), we get a palindrome (353686353).

The spelling of 330442320 in words is "three hundred thirty million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 8147 10140 13520 16294 20280 24441 32588 40560 40735 48882 65176 81470 97764 105911 122205 130352 162940 195528 211822 244410 317733 325880 391056 423644 488820 529555 635466 651760 847288 977640 1059110 1270932 1376843 1588665 1694576 1955280 2118220 2541864 2753686 3177330 4130529 4236440 5083728 5507372 6354660 6884215 8261058 8472880 11014744 12709320 13768430 16522116 20652645 22029488 25418640 27536860 33044232 41305290 55073720 66088464 82610580 110147440 165221160 330442320