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338240149 = 1322001421
BaseRepresentation
bin10100001010010…
…010001010010101
3212120110101020221
4110022102022111
51143042141044
653321354341
711244664612
oct2412221225
9776411227
10338240149
11163a22915
12953389b1
13550c9600
1432cc9509
151ea64484
hex14292295

338240149 has 6 divisors (see below), whose sum is σ = 366260226. Its totient is φ = 312221520.

The previous prime is 338240129. The next prime is 338240173. The reversal of 338240149 is 941042833.

It can be written as a sum of positive squares in 3 ways, for example, as 42640900 + 295599249 = 6530^2 + 17193^2 .

It is not a de Polignac number, because 338240149 - 29 = 338239637 is a prime.

It is a super-2 number, since 2×3382401492 = 228812796791084402, 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 (338240129) 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 5 ways as a sum of consecutive naturals, for example, 1000542 + ... + 1000879.

It is an arithmetic number, because the mean of its divisors is an integer number (61043371).

Almost surely, 2338240149 is an apocalyptic number.

It is an amenable number.

338240149 is a deficient number, since it is larger than the sum of its proper divisors (28020077).

338240149 is a wasteful number, since it uses less digits than its factorization.

338240149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001447 (or 2001434 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 338240149 is about 18391.3063429437. The cubic root of 338240149 is about 696.7469115639.

The spelling of 338240149 in words is "three hundred thirty-eight million, two hundred forty thousand, one hundred forty-nine".

Divisors: 1 13 169 2001421 26018473 338240149