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337000041 = 3371783069
BaseRepresentation
bin10100000101100…
…011011001101001
3212111010101011000
4110011203121221
51142233000131
653235025213
711231311260
oct2405433151
9774111130
10337000041
11163256134
1294a3b209
1354a84011
1432a855d7
151e8bbce6
hex14163669

337000041 has 16 divisors (see below), whose sum is σ = 570582400. Its totient is φ = 192571344.

The previous prime is 337000007. The next prime is 337000067. The reversal of 337000041 is 140000733.

It is not a de Polignac number, because 337000041 - 27 = 336999913 is a prime.

It is a super-2 number, since 2×3370000412 = 227138055268003362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 336999978 and 337000023.

It is not an unprimeable number, because it can be changed into a prime (337000091) 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 15 ways as a sum of consecutive naturals, for example, 891346 + ... + 891723.

It is an arithmetic number, because the mean of its divisors is an integer number (35661400).

Almost surely, 2337000041 is an apocalyptic number.

It is an amenable number.

337000041 is a deficient number, since it is larger than the sum of its proper divisors (233582359).

337000041 is a wasteful number, since it uses less digits than its factorization.

337000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783085 (or 1783079 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 337000041 is about 18357.5608673919. The cubic root of 337000041 is about 695.8943619398.

Adding to 337000041 its reverse (140000733), we get a palindrome (477000774).

The spelling of 337000041 in words is "three hundred thirty-seven million, forty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 1783069 5349207 12481483 16047621 37444449 48142863 112333347 337000041