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337004345 = 5172233221
BaseRepresentation
bin10100000101100…
…100011100111001
3212111010121001102
4110011210130321
51142233114340
653235101145
711231326646
oct2405443471
9774117042
10337004345
11163259397
1294a417b5
1354a85c72
1432a86dcd
151e8bd215
hex14164739

337004345 has 12 divisors (see below), whose sum is σ = 429594924. Its totient is φ = 253743360.

The previous prime is 337004341. The next prime is 337004363. The reversal of 337004345 is 543400733.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 47596201 + 289408144 = 6899^2 + 17012^2 .

It is not a de Polignac number, because 337004345 - 22 = 337004341 is a prime.

It is a super-2 number, since 2×3370043452 = 227143857097758050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337004341) 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 11 ways as a sum of consecutive naturals, for example, 115166 + ... + 118055.

It is an arithmetic number, because the mean of its divisors is an integer number (35799577).

Almost surely, 2337004345 is an apocalyptic number.

It is an amenable number.

337004345 is a deficient number, since it is larger than the sum of its proper divisors (92590579).

337004345 is a wasteful number, since it uses less digits than its factorization.

337004345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233260 (or 233243 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 337004345 is about 18357.6780939203. The cubic root of 337004345 is about 695.8973244682.

The spelling of 337004345 in words is "three hundred thirty-seven million, four thousand, three hundred forty-five".

Divisors: 1 5 17 85 289 1445 233221 1166105 3964757 19823785 67400869 337004345