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3340040337 = 321725324229
BaseRepresentation
bin1100011100010100…
…1111100010010001
322121202212121222200
43013011033202101
523320022242322
61311232353413
7145524605634
oct30705174221
98552777880
103340040337
111464402817
127926a5869
13412c9133a
1423983dc1b
151483618ac
hexc714f891

3340040337 has 36 divisors (see below), whose sum is σ = 5221904220. Its totient is φ = 2056084992.

The previous prime is 3340040329. The next prime is 3340040339. The reversal of 3340040337 is 7330400433.

It can be written as a sum of positive squares in 6 ways, for example, as 114254721 + 3225785616 = 10689^2 + 56796^2 .

It is not a de Polignac number, because 3340040337 - 23 = 3340040329 is a prime.

It is a super-2 number, since 2×33400403372 = 22311738905574147138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340040337.

It is not an unprimeable number, because it can be changed into a prime (3340040339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125739 + ... + 149967.

It is an arithmetic number, because the mean of its divisors is an integer number (145052895).

Almost surely, 23340040337 is an apocalyptic number.

It is an amenable number.

3340040337 is a deficient number, since it is larger than the sum of its proper divisors (1881863883).

3340040337 is a wasteful number, since it uses less digits than its factorization.

3340040337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24322 (or 24302 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3340040337 is about 57793.0820860075. The cubic root of 3340040337 is about 1494.8028042346.

It can be divided in two parts, 33400 and 40337, that added together give a palindrome (73737).

The spelling of 3340040337 in words is "three billion, three hundred forty million, forty thousand, three hundred thirty-seven".

Divisors: 1 3 9 17 51 53 153 159 289 477 867 901 2601 2703 8109 15317 24229 45951 72687 137853 218061 411893 1235679 1284137 3707037 3852411 7002181 11557233 21006543 21830329 63019629 65490987 196472961 371115593 1113346779 3340040337