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338745101 = 3753172741
BaseRepresentation
bin10100001100001…
…101011100001101
3212121102000220212
4110030031130031
51143204320401
653340252205
711252200022
oct2414153415
9777360825
10338745101
11164238232
1295541065
13552453b6
1432dbb549
151eb13dbb
hex1430d70d

338745101 has 8 divisors (see below), whose sum is σ = 354466584. Its totient is φ = 323369280.

The previous prime is 338745083. The next prime is 338745103. The reversal of 338745101 is 101547833.

It can be written as a sum of positive squares in 4 ways, for example, as 76143076 + 262602025 = 8726^2 + 16205^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 338745101 - 218 = 338482957 is a prime.

It is a super-2 number, since 2×3387451012 = 229496486903000402, 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 (338745103) 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, 84410 + ... + 88331.

It is an arithmetic number, because the mean of its divisors is an integer number (44308323).

Almost surely, 2338745101 is an apocalyptic number.

It is an amenable number.

338745101 is a deficient number, since it is larger than the sum of its proper divisors (15721483).

338745101 is a wasteful number, since it uses less digits than its factorization.

338745101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172831.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 338745101 is about 18405.0292311640. The cubic root of 338745101 is about 697.0934590447.

The spelling of 338745101 in words is "three hundred thirty-eight million, seven hundred forty-five thousand, one hundred one".

Divisors: 1 37 53 1961 172741 6391417 9155273 338745101