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330185241 = 366732
BaseRepresentation
bin10011101011100…
…011101000011001
3212000022011000000
4103223203220121
51134011411431
652433003213
711116346121
oct2353435031
9760264000
10330185241
1115a421071
12926b3509
13535391a9
1431bcdc81
151dec29e6
hex13ae3a19

330185241 has 21 divisors (see below), whose sum is σ = 495788079. Its totient is φ = 219796416.

The previous prime is 330185239. The next prime is 330185267. The reversal of 330185241 is 142581033.

It is a happy number.

The square root of 330185241 is 18171.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 222129216 = 10395^2 + 14904^2 .

It is not a de Polignac number, because 330185241 - 21 = 330185239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (330185281) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 490281 + ... + 490953.

Almost surely, 2330185241 is an apocalyptic number.

330185241 is the 18171-st square number.

330185241 is the 9086-th centered octagonal number.

It is an amenable number.

330185241 is a deficient number, since it is larger than the sum of its proper divisors (165602838).

330185241 is an frugal number, since it uses more digits than its factorization.

330185241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 330185241 is about 691.1716012095.

The spelling of 330185241 in words is "three hundred thirty million, one hundred eighty-five thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 673 729 2019 6057 18171 54513 163539 452929 490617 1358787 4076361 12229083 36687249 110061747 330185241