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330906128 = 24719155501
BaseRepresentation
bin10011101110010…
…011101000010000
3212001122202212112
4103232103220100
51134202444003
652500244452
711125440620
oct2356235020
9761582775
10330906128
1115a873743
12929a0728
135372c357
1431d3a880
151e0b63d8
hex13b93a10

330906128 has 40 divisors (see below), whose sum is σ = 771289920. Its totient is φ = 134352000.

The previous prime is 330906097. The next prime is 330906157. The reversal of 330906128 is 821609033.

It is a junction number, because it is equal to n+sod(n) for n = 330906094 and 330906103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75623 + ... + 79878.

It is an arithmetic number, because the mean of its divisors is an integer number (19282248).

Almost surely, 2330906128 is an apocalyptic number.

330906128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

330906128 is an abundant number, since it is smaller than the sum of its proper divisors (440383792).

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

330906128 is a wasteful number, since it uses less digits than its factorization.

330906128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155535 (or 155529 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 330906128 is about 18190.8253798446. The cubic root of 330906128 is about 691.6742427454.

The spelling of 330906128 in words is "three hundred thirty million, nine hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 155501 311002 622004 1088507 1244008 2177014 2488016 2954519 4354028 5909038 8708056 11818076 17416112 20681633 23636152 41363266 47272304 82726532 165453064 330906128