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330738060 = 223517476899
BaseRepresentation
bin10011101101101…
…010100110001100
3212001100020022210
4103231222212030
51134132104220
652452510420
711124140622
oct2355524614
9761306283
10330738060
1115a769444
129291b410
13536a09c3
1431cd5512
151e0816e0
hex13b6a98c

330738060 has 96 divisors (see below), whose sum is σ = 1001548800. Its totient is φ = 81230848.

The previous prime is 330738053. The next prime is 330738061. The reversal of 330738060 is 60837033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (330738061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44491 + ... + 51389.

It is an arithmetic number, because the mean of its divisors is an integer number (10432800).

Almost surely, 2330738060 is an apocalyptic number.

330738060 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 330738060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500774400).

330738060 is an abundant number, since it is smaller than the sum of its proper divisors (670810740).

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

330738060 is a wasteful number, since it uses less digits than its factorization.

330738060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 330738060 is about 18186.2052116432. The cubic root of 330738060 is about 691.5571219234.

The spelling of 330738060 in words is "three hundred thirty million, seven hundred thirty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 6899 7990 9588 11985 13798 15980 20697 23970 27596 34495 41394 47940 68990 82788 103485 117283 137980 206970 234566 324253 351849 413940 469132 586415 648506 703698 972759 1172830 1297012 1407396 1621265 1759245 1945518 2345660 3242530 3518490 3891036 4863795 5512301 6485060 7036980 9727590 11024602 16536903 19455180 22049204 27561505 33073806 55123010 66147612 82684515 110246020 165369030 330738060