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330434325 = 325213173653
BaseRepresentation
bin10011101100100…
…000011100010101
3212000202210200100
4103230200130111
51134042344300
652442204313
711121434244
oct2354403425
9760683610
10330434325
1115a581221
12927b3699
13535c5690
1431c5695b
151e021700
hex13b20715

330434325 has 72 divisors (see below), whose sum is σ = 642037032. Its totient is φ = 161487360.

The previous prime is 330434311. The next prime is 330434329. The reversal of 330434325 is 523434033.

It is a happy number.

330434325 is a `hidden beast` number, since 3 + 304 + 34 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 114961284 + 215473041 = 10722^2 + 14679^2 .

It is not a de Polignac number, because 330434325 - 215 = 330401557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330434329) 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 71 ways as a sum of consecutive naturals, for example, 505699 + ... + 506351.

It is an arithmetic number, because the mean of its divisors is an integer number (8917181).

Almost surely, 2330434325 is an apocalyptic number.

It is an amenable number.

330434325 is a deficient number, since it is larger than the sum of its proper divisors (311602707).

330434325 is a wasteful number, since it uses less digits than its factorization.

330434325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 330434325 is about 18177.8525959476. The cubic root of 330434325 is about 691.3453587379.

Adding to 330434325 its reverse (523434033), we get a palindrome (853868358).

The spelling of 330434325 in words is "three hundred thirty million, four hundred thirty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 173 195 225 325 519 585 653 865 975 1557 1959 2249 2595 2925 3265 4325 5877 6747 7785 8489 9795 11245 12975 16325 20241 25467 29385 33735 38925 42445 48975 56225 76401 101205 112969 127335 146925 168675 212225 338907 382005 506025 564845 636675 1016721 1468597 1694535 1910025 2824225 4405791 5083605 7342985 8472675 13217373 22028955 25418025 36714925 66086865 110144775 330434325