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3314009840 = 245109380047
BaseRepresentation
bin1100010110000111…
…1100011011110000
322112221220010212012
43011201330123300
523241341303330
61304502422052
7145060422161
oct30541743360
98487803765
103314009840
111450743709
12785a31928
1340a77908b
142361c5768
15145e1dc95
hexc587c6f0

3314009840 has 40 divisors (see below), whose sum is σ = 7775782080. Its totient is φ = 1313438976.

The previous prime is 3314009837. The next prime is 3314009899. The reversal of 3314009840 is 489004133.

3314009840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33140098402 = 21965322439233651200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3314009797 and 3314009806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181304 + ... + 198743.

It is an arithmetic number, because the mean of its divisors is an integer number (194394552).

Almost surely, 23314009840 is an apocalyptic number.

It is an amenable number.

3314009840 is an abundant number, since it is smaller than the sum of its proper divisors (4461772240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3314009840 is a wasteful number, since it uses less digits than its factorization.

3314009840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380169 (or 380163 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3314009840 is about 57567.4373235426. The cubic root of 3314009840 is about 1490.9094398445.

The spelling of 3314009840 in words is "three billion, three hundred fourteen million, nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 380047 760094 1520188 1900235 3040376 3800470 6080752 7600940 15201880 30403760 41425123 82850246 165700492 207125615 331400984 414251230 662801968 828502460 1657004920 3314009840