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165306330 = 23257262391
BaseRepresentation
bin10011101101001…
…01111111011010
3102112001102122200
421312211333122
5314304300310
624223031030
74045036440
oct1166457732
9375042580
10165306330
1185347102
124743b476
132832aac7
1417d50b90
15e7a49c0
hex9da5fda

165306330 has 48 divisors (see below), whose sum is σ = 491197824. Its totient is φ = 37784160.

The previous prime is 165306263. The next prime is 165306391. The reversal of 165306330 is 33603561.

165306330 is a `hidden beast` number, since 1 + 653 + 0 + 6 + 3 + 3 + 0 = 666.

165306330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165306294 and 165306303.

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, 130566 + ... + 131825.

It is an arithmetic number, because the mean of its divisors is an integer number (10233288).

Almost surely, 2165306330 is an apocalyptic number.

165306330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165306330 is an abundant number, since it is smaller than the sum of its proper divisors (325891494).

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

165306330 is a wasteful number, since it uses less digits than its factorization.

165306330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262411 (or 262408 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 165306330 is about 12857.1509285689. The cubic root of 165306330 is about 548.8198718286.

Adding to 165306330 its reverse (33603561), we get a palindrome (198909891).

The spelling of 165306330 in words is "one hundred sixty-five million, three hundred six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 262391 524782 787173 1311955 1574346 1836737 2361519 2623910 3673474 3935865 4723038 5510211 7871730 9183685 11020422 11807595 16530633 18367370 23615190 27551055 33061266 55102110 82653165 165306330