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338138532 = 22329979421
BaseRepresentation
bin10100001001111…
…001010110100100
3212120021012212100
4110021321112210
51143030413112
653315252100
711244062424
oct2411712644
9776235770
10338138532
11163963536
12952aa030
1355092294
1432ca0484
151ea442dc
hex142795a4

338138532 has 36 divisors (see below), whose sum is σ = 855687196. Its totient is φ = 112587840.

The previous prime is 338138531. The next prime is 338138533. The reversal of 338138532 is 235831833.

It is an interprime number because it is at equal distance from previous prime (338138531) and next prime (338138533).

It can be written as a sum of positive squares in 2 ways, for example, as 206669376 + 131469156 = 14376^2 + 11466^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3381385322 = 228675333646230048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (338138531) 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, 31182 + ... + 40602.

Almost surely, 2338138532 is an apocalyptic number.

It is an amenable number.

338138532 is an abundant number, since it is smaller than the sum of its proper divisors (517548664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338138532 is a wasteful number, since it uses less digits than its factorization.

338138532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10423 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 338138532 is about 18388.5434986026. The cubic root of 338138532 is about 696.6771303522.

The spelling of 338138532 in words is "three hundred thirty-eight million, one hundred thirty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 997 1994 2991 3988 5982 8973 9421 11964 17946 18842 28263 35892 37684 56526 84789 113052 169578 339156 9392737 18785474 28178211 37570948 56356422 84534633 112712844 169069266 338138532