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330666112 = 277252721
BaseRepresentation
bin10011101101011…
…001000010000000
3212001012120122001
4103231121002000
51134122303422
652451153344
711123421100
oct2355310200
9761176561
10330666112
1115a71a387
12928a5854
135367702a
1431cb7200
151e06a227
hex13b59080

330666112 has 48 divisors (see below), whose sum is σ = 766314270. Its totient is φ = 141711360.

The previous prime is 330666109. The next prime is 330666121. The reversal of 330666112 is 211666033.

330666112 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., 323136576 + 7529536 = 17976^2 + 2744^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 5 ways as a sum of consecutive naturals, for example, 20089 + ... + 32632.

Almost surely, 2330666112 is an apocalyptic number.

330666112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330666112 is an abundant number, since it is smaller than the sum of its proper divisors (435648158).

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

330666112 is an equidigital number, since it uses as much as digits as its factorization.

330666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52749 (or 52730 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 330666112 is about 18184.2270113414. The cubic root of 330666112 is about 691.5069717026.

The spelling of 330666112 in words is "three hundred thirty million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 52721 105442 210884 369047 421768 738094 843536 1476188 1687072 2583329 2952376 3374144 5166658 5904752 6748288 10333316 11809504 20666632 23619008 41333264 47238016 82666528 165333056 330666112