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338742733 = 7237186841
BaseRepresentation
bin10100001100001…
…100110111001101
3212121101220200011
4110030030313031
51143204231413
653340233221
711252160100
oct2414146715
9777356604
10338742733
1116423647a
129553b811
13552442b4
1432dba737
151eb1333d
hex1430cdcd

338742733 has 12 divisors (see below), whose sum is σ = 404699772. Its totient is φ = 282502080.

The previous prime is 338742727. The next prime is 338742737. The reversal of 338742733 is 337247833.

It can be written as a sum of positive squares in 2 ways, for example, as 124500964 + 214241769 = 11158^2 + 14637^2 .

It is a de Polignac number, because none of the positive numbers 2k-338742733 is a prime.

It is a super-2 number, since 2×3387427332 = 229493278320618578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338742737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91608 + ... + 95233.

It is an arithmetic number, because the mean of its divisors is an integer number (33724981).

Almost surely, 2338742733 is an apocalyptic number.

It is an amenable number.

338742733 is a deficient number, since it is larger than the sum of its proper divisors (65957039).

338742733 is a wasteful number, since it uses less digits than its factorization.

338742733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186892 (or 186885 counting only the distinct ones).

The product of its digits is 254016, while the sum is 40.

The square root of 338742733 is about 18404.9649008087. The cubic root of 338742733 is about 697.0918346954.

The spelling of 338742733 in words is "three hundred thirty-eight million, seven hundred forty-two thousand, seven hundred thirty-three".

Divisors: 1 7 37 49 259 1813 186841 1307887 6913117 9155209 48391819 338742733