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338149008 = 24322348257
BaseRepresentation
bin10100001001111…
…011111010010000
3212120021202020100
4110021323322100
51143031232013
653315412400
711244135111
oct2411737220
9776252210
10338149008
1116397039a
12952b4100
1355096c92
1432ca4208
151ea47473
hex1427be90

338149008 has 30 divisors (see below), whose sum is σ = 946347974. Its totient is φ = 112716288.

The previous prime is 338148991. The next prime is 338149039. The reversal of 338149008 is 800941833.

It can be written as a sum of positive squares in only one way, i.e., 172975104 + 165173904 = 13152^2 + 12852^2 .

It is a super-2 number, since 2×3381490082 = 228689503222768128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1173985 + ... + 1174272.

Almost surely, 2338149008 is an apocalyptic number.

It is an amenable number.

338149008 is an abundant number, since it is smaller than the sum of its proper divisors (608198966).

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

338149008 is a wasteful number, since it uses less digits than its factorization.

338149008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348271 (or 2348262 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 338149008 is about 18388.8283476680. The cubic root of 338149008 is about 696.6843249520.

The spelling of 338149008 in words is "three hundred thirty-eight million, one hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2348257 4696514 7044771 9393028 14089542 18786056 21134313 28179084 37572112 42268626 56358168 84537252 112716336 169074504 338149008