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330030320 = 24541239421
BaseRepresentation
bin10011101010111…
…101110011110000
3212000000021111012
4103222331303300
51133441432240
652425410052
711115132344
oct2352756360
9760007435
10330030320
1115a325734
1292639928
13534b3819
1431b8d624
151de91b65
hex13abdcf0

330030320 has 80 divisors (see below), whose sum is σ = 791199360. Its totient is φ = 127948800.

The previous prime is 330030307. The next prime is 330030329. The reversal of 330030320 is 23030033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 330030295 and 330030304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330030329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 783710 + ... + 784130.

It is an arithmetic number, because the mean of its divisors is an integer number (9889992).

Almost surely, 2330030320 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 330030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395599680).

330030320 is an abundant number, since it is smaller than the sum of its proper divisors (461169040).

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

330030320 is a wasteful number, since it uses less digits than its factorization.

330030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 330030320 is about 18166.7366359509. The cubic root of 330030320 is about 691.0634863966.

Adding to 330030320 its reverse (23030033), we get a palindrome (353060353).

The spelling of 330030320 in words is "three hundred thirty million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 239 328 410 421 478 656 820 842 956 1195 1640 1684 1912 2105 2390 3280 3368 3824 4210 4780 6736 8420 9560 9799 16840 17261 19120 19598 33680 34522 39196 48995 69044 78392 86305 97990 100619 138088 156784 172610 195980 201238 276176 345220 391960 402476 503095 690440 783920 804952 1006190 1380880 1609904 2012380 4024760 4125379 8049520 8250758 16501516 20626895 33003032 41253790 66006064 82507580 165015160 330030320