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338455153 = 1300926017
BaseRepresentation
bin10100001011000…
…110101001110001
3212120212022012001
4110023012221301
51143121031103
653330134001
711246551501
oct2413065161
9776768161
10338455153
1116405a403
1295421301
135517342a
1432d43a01
151eaa801d
hex142c6a71

338455153 has 4 divisors (see below), whose sum is σ = 338494180. Its totient is φ = 338416128.

The previous prime is 338455129. The next prime is 338455157. The reversal of 338455153 is 351554833.

338455153 is a nontrivial binomial coefficient, being equal to C(26018, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 177875569 = 12672^2 + 13337^2 .

It is a 3-Lehmer number, since φ(338455153) divides (338455153-1)3.

It is a cyclic number.

It is not a de Polignac number, because 338455153 - 25 = 338455121 is a prime.

It is a super-2 number, since 2×3384551532 = 229103781184506818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338455157) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 26017.

It is an arithmetic number, because the mean of its divisors is an integer number (84623545).

It is a Poulet number, since it divides 2338455152-1.

Almost surely, 2338455153 is an apocalyptic number.

338455153 is the 26017-th triangular number and also the 13009-th hexagonal number.

338455153 is the 8673-rd centered nonagonal number.

It is an amenable number.

338455153 is a deficient number, since it is larger than the sum of its proper divisors (39027).

338455153 is a wasteful number, since it uses less digits than its factorization.

338455153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39026.

The product of its digits is 108000, while the sum is 37.

The square root of 338455153 is about 18397.1506761237. The cubic root of 338455153 is about 696.8945104849.

The spelling of 338455153 in words is "three hundred thirty-eight million, four hundred fifty-five thousand, one hundred fifty-three".

Divisors: 1 13009 26017 338455153