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338536705 = 5135398269
BaseRepresentation
bin10100001011011…
…010100100000001
3212121000110001111
4110023122210001
51143131133310
653332003321
711250341323
oct2413324401
9777013044
10338536705
11164105701
1295460541
13551a15a0
1432d65613
151eac228a
hex142da901

338536705 has 16 divisors (see below), whose sum is σ = 445752720. Its totient is φ = 245276928.

The previous prime is 338536703. The next prime is 338536711. The reversal of 338536705 is 507635833.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79584241 + 258952464 = 8921^2 + 16092^2 .

It is not a de Polignac number, because 338536705 - 21 = 338536703 is a prime.

It is a super-2 number, since 2×3385367052 = 229214201264514050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338536703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45690 + ... + 52579.

It is an arithmetic number, because the mean of its divisors is an integer number (27859545).

Almost surely, 2338536705 is an apocalyptic number.

It is an amenable number.

338536705 is a deficient number, since it is larger than the sum of its proper divisors (107216015).

338536705 is a wasteful number, since it uses less digits than its factorization.

338536705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98340.

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 338536705 is about 18399.3669728064. The cubic root of 338536705 is about 696.9504790788.

The spelling of 338536705 in words is "three hundred thirty-eight million, five hundred thirty-six thousand, seven hundred five".

Divisors: 1 5 13 53 65 265 689 3445 98269 491345 1277497 5208257 6387485 26041285 67707341 338536705