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330048608 = 25171016007
BaseRepresentation
bin10011101011000…
…010010001100000
3212000001012120112
4103223002101200
51133443023413
652430030452
711115236561
oct2353022140
9760035515
10330048608
1115a33844a
1292648428
13534bbc46
1431b96168
151de972a8
hex13ac2460

330048608 has 48 divisors (see below), whose sum is σ = 694933344. Its totient is φ = 153753600.

The previous prime is 330048553. The next prime is 330048629. The reversal of 330048608 is 806840033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51941 + ... + 57947.

It is an arithmetic number, because the mean of its divisors is an integer number (14477778).

Almost surely, 2330048608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330048608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347466672).

330048608 is an abundant number, since it is smaller than the sum of its proper divisors (364884736).

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

330048608 is a wasteful number, since it uses less digits than its factorization.

330048608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 330048608 is about 18167.2399664891. The cubic root of 330048608 is about 691.0762508154.

The spelling of 330048608 in words is "three hundred thirty million, forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 3232 3434 6007 6868 12014 13736 24028 27472 48056 54944 96112 102119 192224 204238 408476 606707 816952 1213414 1633904 2426828 3267808 4853656 9707312 10314019 19414624 20628038 41256076 82512152 165024304 330048608