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338428465 = 5493313721
BaseRepresentation
bin10100001011000…
…000001000110001
3212120210221120121
4110023000020301
51143114202330
653325410241
711246410624
oct2413001061
9776727517
10338428465
11164041351
1295409981
135516423b
1432d37dbb
151eaa017a
hex142c0231

338428465 has 8 divisors (see below), whose sum is σ = 406226088. Its totient is φ = 270668160.

The previous prime is 338428451. The next prime is 338428483. The reversal of 338428465 is 564824833.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 336759201 = 1292^2 + 18351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338428465 - 215 = 338395697 is a prime.

It is a super-3 number, since 3×3384284653 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17805 + ... + 31525.

It is an arithmetic number, because the mean of its divisors is an integer number (50778261).

Almost surely, 2338428465 is an apocalyptic number.

It is an amenable number.

338428465 is a deficient number, since it is larger than the sum of its proper divisors (67797623).

338428465 is a wasteful number, since it uses less digits than its factorization.

338428465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659.

The product of its digits is 552960, while the sum is 43.

The square root of 338428465 is about 18396.4253321128. The cubic root of 338428465 is about 696.8761927359.

The spelling of 338428465 in words is "three hundred thirty-eight million, four hundred twenty-eight thousand, four hundred sixty-five".

Divisors: 1 5 4933 13721 24665 68605 67685693 338428465