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338138251 = 1125352727
BaseRepresentation
bin10100001001111…
…001010010001011
3212120021012110221
4110021321102023
51143030411001
653315250511
711244061543
oct2411712213
9776235427
10338138251
11163963300
12952a9a37
1355092109
1432ca0323
151ea441a1
hex1427948b

338138251 has 12 divisors (see below), whose sum is σ = 378692496. Its totient is φ = 301592720.

The previous prime is 338138239. The next prime is 338138287. The reversal of 338138251 is 152831833.

It is not a de Polignac number, because 338138251 - 25 = 338138219 is a prime.

It is a super-2 number, since 2×3381382512 = 228674953578678002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338138201) 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 11 ways as a sum of consecutive naturals, for example, 19951 + ... + 32776.

It is an arithmetic number, because the mean of its divisors is an integer number (31557708).

Almost surely, 2338138251 is an apocalyptic number.

338138251 is a deficient number, since it is larger than the sum of its proper divisors (40554245).

338138251 is a wasteful number, since it uses less digits than its factorization.

338138251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52802 (or 52791 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 338138251 is about 18388.5358579741. The cubic root of 338138251 is about 696.6769373678.

The spelling of 338138251 in words is "three hundred thirty-eight million, one hundred thirty-eight thousand, two hundred fifty-one".

Divisors: 1 11 53 121 583 6413 52727 579997 2794531 6379967 30739841 338138251