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338749377 = 3293893671
BaseRepresentation
bin10100001100001…
…110011111000001
3212121102020210020
4110030032133001
51143204440002
653340324053
711252215341
oct2414163701
9777366706
10338749377
1116424046a
1295543629
1355247325
1432dbcd21
151eb152bc
hex1430e7c1

338749377 has 8 divisors (see below), whose sum is σ = 467240640. Its totient is φ = 218045520.

The previous prime is 338749373. The next prime is 338749379. The reversal of 338749377 is 773947833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338749377 - 22 = 338749373 is a prime.

It is a super-3 number, since 3×3387493773 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (338749373) 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 7 ways as a sum of consecutive naturals, for example, 1946749 + ... + 1946922.

It is an arithmetic number, because the mean of its divisors is an integer number (58405080).

Almost surely, 2338749377 is an apocalyptic number.

It is an amenable number.

338749377 is a deficient number, since it is larger than the sum of its proper divisors (128491263).

338749377 is a wasteful number, since it uses less digits than its factorization.

338749377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893703.

The product of its digits is 2667168, while the sum is 51.

The square root of 338749377 is about 18405.1453946987. The cubic root of 338749377 is about 697.0963921834.

The spelling of 338749377 in words is "three hundred thirty-eight million, seven hundred forty-nine thousand, three hundred seventy-seven".

Divisors: 1 3 29 87 3893671 11681013 112916459 338749377