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3286874745 = 325711948593
BaseRepresentation
bin1100001111101001…
…1011101001111001
322111001211112111200
43003322123221321
523212414442440
61302053044413
7144310655130
oct30372335171
98431745450
103286874745
11143739a710
12778926709
13404c680cb
14232760917
1514385dc30
hexc3e9ba79

3286874745 has 48 divisors (see below), whose sum is σ = 7103071872. Its totient is φ = 1365972480.

The previous prime is 3286874729. The next prime is 3286874797. The reversal of 3286874745 is 5474786823.

It is not a de Polignac number, because 3286874745 - 24 = 3286874729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3286874691 and 3286874700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470832 + ... + 477761.

It is an arithmetic number, because the mean of its divisors is an integer number (147980664).

Almost surely, 23286874745 is an apocalyptic number.

3286874745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3286874745 is an abundant number, since it is smaller than the sum of its proper divisors (3816197127).

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

3286874745 is a wasteful number, since it uses less digits than its factorization.

3286874745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948622 (or 948619 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 3286874745 is about 57331.2719639116. The cubic root of 3286874745 is about 1486.8290966917.

The spelling of 3286874745 in words is "three billion, two hundred eighty-six million, eight hundred seventy-four thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 948593 2845779 4742965 6640151 8537337 10434523 14228895 19920453 31303569 33200755 42686685 52172615 59761359 73041661 93910707 99602265 156517845 219124983 298806795 365208305 469553535 657374949 1095624915 3286874745