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330590970 = 2345408137
BaseRepresentation
bin10011101101000…
…110101011111010
3212001001202120000
4103231012223322
51134112402340
652445413430
711122656033
oct2355065372
9761052500
10330590970
1115a678986
129286a276
135364ba78
1431c97a8a
151e052d30
hex13b46afa

330590970 has 40 divisors (see below), whose sum is σ = 888924564. Its totient is φ = 88157376.

The previous prime is 330590947. The next prime is 330590971. The reversal of 330590970 is 79095033.

It can be written as a sum of positive squares in 2 ways, for example, as 327573801 + 3017169 = 18099^2 + 1737^2 .

It is not an unprimeable number, because it can be changed into a prime (330590971) 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 19 ways as a sum of consecutive naturals, for example, 203259 + ... + 204878.

Almost surely, 2330590970 is an apocalyptic number.

330590970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330590970 is an abundant number, since it is smaller than the sum of its proper divisors (558333594).

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

330590970 is a wasteful number, since it uses less digits than its factorization.

330590970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408156 (or 408147 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 330590970 is about 18182.1607626816. The cubic root of 330590970 is about 691.4545873876.

The spelling of 330590970 in words is "three hundred thirty million, five hundred ninety thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 408137 816274 1224411 2040685 2448822 3673233 4081370 6122055 7346466 11019699 12244110 18366165 22039398 33059097 36732330 55098495 66118194 110196990 165295485 330590970