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338148465 = 3531727201
BaseRepresentation
bin10100001001111…
…011110001110001
3212120021201111020
4110021323301301
51143031222330
653315410053
711244133404
oct2411736161
9776251436
10338148465
1116396aa46
12952b3929
1355096965
1432ca3d3b
151ea47210
hex1427bc71

338148465 has 16 divisors (see below), whose sum is σ = 558491136. Its totient is φ = 174528000.

The previous prime is 338148457. The next prime is 338148487. The reversal of 338148465 is 564841833.

It is not a de Polignac number, because 338148465 - 23 = 338148457 is a prime.

It is a super-3 number, since 3×3381484653 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363136 + ... + 364065.

It is an arithmetic number, because the mean of its divisors is an integer number (34905696).

Almost surely, 2338148465 is an apocalyptic number.

It is an amenable number.

338148465 is a deficient number, since it is larger than the sum of its proper divisors (220342671).

338148465 is a wasteful number, since it uses less digits than its factorization.

338148465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727240.

The product of its digits is 276480, while the sum is 42.

The square root of 338148465 is about 18388.8135832631. The cubic root of 338148465 is about 696.6839520396.

The spelling of 338148465 in words is "three hundred thirty-eight million, one hundred forty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 15 31 93 155 465 727201 2181603 3636005 10908015 22543231 67629693 112716155 338148465