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337130324 = 221014012081
BaseRepresentation
bin10100000110000…
…011001101010100
3212111100222212022
4110012003031110
51142301132244
653241512312
711232363146
oct2406031524
9774328768
10337130324
11163335003
1294aa2698
1354acb3cb
1432abac96
151e8e56ee
hex14183354

337130324 has 24 divisors (see below), whose sum is σ = 597592296. Its totient is φ = 166400000.

The previous prime is 337130323. The next prime is 337130393. The reversal of 337130324 is 423031733.

It can be written as a sum of positive squares in 4 ways, for example, as 228553924 + 108576400 = 15118^2 + 10420^2 .

It is a super-2 number, since 2×3371303242 = 227313710720689952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337130293 and 337130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337130323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 160964 + ... + 163044.

It is an arithmetic number, because the mean of its divisors is an integer number (24899679).

Almost surely, 2337130324 is an apocalyptic number.

It is an amenable number.

337130324 is a deficient number, since it is larger than the sum of its proper divisors (260461972).

337130324 is a wasteful number, since it uses less digits than its factorization.

337130324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 337130324 is about 18361.1090079004. The cubic root of 337130324 is about 695.9840271360.

The spelling of 337130324 in words is "three hundred thirty-seven million, one hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 4 101 202 401 404 802 1604 2081 4162 8324 40501 81002 162004 210181 420362 834481 840724 1668962 3337924 84282581 168565162 337130324