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338680013 = 726911837
BaseRepresentation
bin10100001011111…
…101100011001101
3212121021201122012
4110023331203031
51143200230023
653335031005
711251506200
oct2413754315
9777251565
10338680013
111641a3341
129550b465
1355221899
1432da1937
151eaee978
hex142fd8cd

338680013 has 6 divisors (see below), whose sum is σ = 393974766. Its totient is φ = 290297112.

The previous prime is 338680003. The next prime is 338680039. The reversal of 338680013 is 310086833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 338670409 + 9604 = 18403^2 + 98^2 .

It is not a de Polignac number, because 338680013 - 224 = 321902797 is a prime.

It is a super-2 number, since 2×3386800132 = 229408302411360338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338680003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3455870 + ... + 3455967.

It is an arithmetic number, because the mean of its divisors is an integer number (65662461).

Almost surely, 2338680013 is an apocalyptic number.

It is an amenable number.

338680013 is a deficient number, since it is larger than the sum of its proper divisors (55294753).

338680013 is an equidigital number, since it uses as much as digits as its factorization.

338680013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911851 (or 6911844 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 338680013 is about 18403.2609338671. The cubic root of 338680013 is about 697.0488086323.

The spelling of 338680013 in words is "three hundred thirty-eight million, six hundred eighty thousand, thirteen".

Divisors: 1 7 49 6911837 48382859 338680013