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330468642 = 23272374681
BaseRepresentation
bin10011101100101…
…000110100100010
3212000211112202100
4103230220310202
51134044444032
652443031230
711121636300
oct2354506442
9760745670
10330468642
1115a5a4a89
129280b516
135360819a
1431c65270
151e02b97c
hex13b28d22

330468642 has 36 divisors (see below), whose sum is σ = 832918086. Its totient is φ = 94419360.

The previous prime is 330468641. The next prime is 330468647. The reversal of 330468642 is 246864033.

It is a happy number.

330468642 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 6 + 8 + 642 = 666.

330468642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 317873241 + 12595401 = 17829^2 + 3549^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330468597 and 330468606.

It is not an unprimeable number, because it can be changed into a prime (330468641) 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 17 ways as a sum of consecutive naturals, for example, 186459 + ... + 188222.

Almost surely, 2330468642 is an apocalyptic number.

330468642 is an abundant number, since it is smaller than the sum of its proper divisors (502449444).

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

330468642 is a wasteful number, since it uses less digits than its factorization.

330468642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374703 (or 374693 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 330468642 is about 18178.7964948178. The cubic root of 330468642 is about 691.3692909544.

The spelling of 330468642 in words is "three hundred thirty million, four hundred sixty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 374681 749362 1124043 2248086 2622767 3372129 5245534 6744258 7868301 15736602 18359369 23604903 36718738 47209806 55078107 110156214 165234321 330468642