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338440689 = 32265714153
BaseRepresentation
bin10100001011000…
…011000111110001
3212120211120100100
4110023003013301
51143120100224
653325543013
711246461356
oct2413030761
9776746310
10338440689
1116404a554
1295414a69
1355169982
1432d3c62d
151eaa3ac9
hex142c31f1

338440689 has 12 divisors (see below), whose sum is σ = 489077316. Its totient is φ = 225526272.

The previous prime is 338440667. The next prime is 338440721. The reversal of 338440689 is 986044833.

It can be written as a sum of positive squares in 2 ways, for example, as 175112289 + 163328400 = 13233^2 + 12780^2 .

It is not a de Polignac number, because 338440689 - 25 = 338440657 is a prime.

It is a super-2 number, since 2×3384406892 = 229084199941589442, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338440489) 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 11 ways as a sum of consecutive naturals, for example, 16837 + ... + 30989.

It is an arithmetic number, because the mean of its divisors is an integer number (40756443).

Almost surely, 2338440689 is an apocalyptic number.

It is an amenable number.

338440689 is a deficient number, since it is larger than the sum of its proper divisors (150636627).

338440689 is a wasteful number, since it uses less digits than its factorization.

338440689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16816 (or 16813 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 338440689 is about 18396.7575675715. The cubic root of 338440689 is about 696.8845829995.

The spelling of 338440689 in words is "three hundred thirty-eight million, four hundred forty thousand, six hundred eighty-nine".

Divisors: 1 3 9 2657 7971 14153 23913 42459 127377 37604521 112813563 338440689