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330405237 = 3411293613
BaseRepresentation
bin10011101100011…
…001010101110101
3212000201022210000
4103230121111311
51134040431422
652441421513
711121253401
oct2354312565
9760638700
10330405237
1115a561388
129279a899
13535b5376
1431c4a101
151e017cac
hex13b19575

330405237 has 20 divisors (see below), whose sum is σ = 494142220. Its totient is φ = 220014144.

The previous prime is 330405211. The next prime is 330405263. The reversal of 330405237 is 732504033.

It is an interprime number because it is at equal distance from previous prime (330405211) and next prime (330405263).

It can be written as a sum of positive squares in 2 ways, for example, as 8346321 + 322058916 = 2889^2 + 17946^2 .

It is not a de Polignac number, because 330405237 - 27 = 330405109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330405237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330405137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89643 + ... + 93255.

It is an arithmetic number, because the mean of its divisors is an integer number (24707111).

Almost surely, 2330405237 is an apocalyptic number.

It is an amenable number.

330405237 is a deficient number, since it is larger than the sum of its proper divisors (163736983).

330405237 is a wasteful number, since it uses less digits than its factorization.

330405237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 330405237 is about 18177.0524838325. The cubic root of 330405237 is about 691.3250718585.

The spelling of 330405237 in words is "three hundred thirty million, four hundred five thousand, two hundred thirty-seven".

Divisors: 1 3 9 27 81 1129 3387 3613 10161 10839 30483 32517 91449 97551 292653 4079077 12237231 36711693 110135079 330405237