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338144149 = 732773559
BaseRepresentation
bin10100001001111…
…010101110010101
3212120021111120101
4110021322232111
51143031103044
653315334101
711244115000
oct2411725625
9776244511
10338144149
11163967782
12952b1331
13550949c5
1432ca2537
151ea45cd4
hex1427ab95

338144149 has 16 divisors (see below), whose sum is σ = 395872000. Its totient is φ = 288710352.

The previous prime is 338144141. The next prime is 338144153. The reversal of 338144149 is 941441833.

It is not a de Polignac number, because 338144149 - 23 = 338144141 is a prime.

It is a super-2 number, since 2×3381441492 = 228682931005868402, 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 (338144141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93232 + ... + 96790.

It is an arithmetic number, because the mean of its divisors is an integer number (24742000).

Almost surely, 2338144149 is an apocalyptic number.

It is an amenable number.

338144149 is a deficient number, since it is larger than the sum of its proper divisors (57727851).

338144149 is an equidigital number, since it uses as much as digits as its factorization.

338144149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3843 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 338144149 is about 18388.6962289337. The cubic root of 338144149 is about 696.6809879563.

The spelling of 338144149 in words is "three hundred thirty-eight million, one hundred forty-four thousand, one hundred forty-nine".

Divisors: 1 7 49 277 343 1939 3559 13573 24913 95011 174391 985843 1220737 6900901 48306307 338144149