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338892101 = 419785213
BaseRepresentation
bin10100001100110…
…001010101000101
3212121200111120022
4110030301111011
51143224021401
653343344525
711253351422
oct2414612505
9777614508
10338892101
11164328719
12955b2145
1355297292
1433018d49
151eb4271b
hex14331545

338892101 has 8 divisors (see below), whose sum is σ = 350740824. Its totient is φ = 327214080.

The previous prime is 338892079. The next prime is 338892109. The reversal of 338892101 is 101298833.

It can be written as a sum of positive squares in 4 ways, for example, as 1288225 + 337603876 = 1135^2 + 18374^2 .

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 338892101 - 214 = 338875717 is a prime.

It is a super-2 number, since 2×3388921012 = 229695712240388402, 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 (338892109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38630 + ... + 46583.

It is an arithmetic number, because the mean of its divisors is an integer number (43842603).

Almost surely, 2338892101 is an apocalyptic number.

It is an amenable number.

338892101 is a deficient number, since it is larger than the sum of its proper divisors (11848723).

338892101 is an equidigital number, since it uses as much as digits as its factorization.

338892101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85351.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 338892101 is about 18409.0222717014. The cubic root of 338892101 is about 697.1942801035.

The spelling of 338892101 in words is "three hundred thirty-eight million, eight hundred ninety-two thousand, one hundred one".

Divisors: 1 41 97 3977 85213 3493733 8265661 338892101