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330830505 = 325233753163
BaseRepresentation
bin10011101110000…
…001001010101001
3212001111221010200
4103232001022221
51134143034010
652454502413
711125004265
oct2356011251
9761457120
10330830505
1115a821945
1292964a09
1353703ac5
1431d1b0a5
151e09dcc0
hex13b812a9

330830505 has 96 divisors (see below), whose sum is σ = 629980416. Its totient is φ = 160123392.

The previous prime is 330830503. The next prime is 330830537. The reversal of 330830505 is 505038033.

It is not a de Polignac number, because 330830505 - 21 = 330830503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330830503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2029554 + ... + 2029716.

It is an arithmetic number, because the mean of its divisors is an integer number (6562296).

Almost surely, 2330830505 is an apocalyptic number.

It is an amenable number.

330830505 is a deficient number, since it is larger than the sum of its proper divisors (299149911).

330830505 is a wasteful number, since it uses less digits than its factorization.

330830505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 330830505 is about 18188.7466583050. The cubic root of 330830505 is about 691.6215485803.

Adding to 330830505 its reverse (505038033), we get a palindrome (835868538).

The spelling of 330830505 in words is "three hundred thirty million, eight hundred thirty thousand, five hundred five".

Divisors: 1 3 5 9 15 23 37 45 53 69 111 115 159 163 185 207 265 333 345 477 489 555 795 815 851 1035 1219 1467 1665 1961 2385 2445 2553 3657 3749 4255 5883 6031 6095 7335 7659 8639 9805 10971 11247 12765 17649 18093 18285 18745 25917 29415 30155 33741 38295 43195 45103 54279 54855 56235 77751 88245 90465 129585 135309 138713 168705 198697 225515 271395 319643 388755 405927 416139 596091 676545 693565 958929 993485 1248417 1598215 1788273 2029635 2080695 2876787 2980455 4794645 6242085 7351789 8941365 14383935 22055367 36758945 66166101 110276835 330830505