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330032730 = 23517653991
BaseRepresentation
bin10011101010111…
…110011001011010
3212000000101210110
4103222332121122
51133442021410
652425425150
711115142356
oct2352763132
9760011713
10330032730
1115a327525
129263b1b6
13534b4951
1431b90466
151de92720
hex13abe65a

330032730 has 64 divisors (see below), whose sum is σ = 840803328. Its totient is φ = 82621440.

The previous prime is 330032719. The next prime is 330032767. The reversal of 330032730 is 37230033.

It is a junction number, because it is equal to n+sod(n) for n = 330032697 and 330032706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332535 + ... + 333525.

It is an arithmetic number, because the mean of its divisors is an integer number (13137552).

Almost surely, 2330032730 is an apocalyptic number.

330032730 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 330032730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420401664).

330032730 is an abundant number, since it is smaller than the sum of its proper divisors (510770598).

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

330032730 is a wasteful number, since it uses less digits than its factorization.

330032730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671.

The product of its (nonzero) digits is 1134, while the sum is 21.

The square root of 330032730 is about 18166.8029658495. The cubic root of 330032730 is about 691.0651685239.

Adding to 330032730 its reverse (37230033), we get a palindrome (367262763).

The spelling of 330032730 in words is "three hundred thirty million, thirty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 653 991 1306 1959 1982 2973 3265 3918 4955 5946 6530 9795 9910 11101 14865 16847 19590 22202 29730 33303 33694 50541 55505 66606 84235 101082 111010 166515 168470 252705 333030 505410 647123 1294246 1941369 3235615 3882738 6471230 9706845 11001091 19413690 22002182 33003273 55005455 66006546 110010910 165016365 330032730