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3282304240 = 2451723104933
BaseRepresentation
bin1100001110100011…
…1111110011110000
322110202020022221201
43003220333303300
523210232213430
61301411100544
7144224061055
oct30350776360
98422208851
103282304240
111434858836
127772a1754
13404027977
14231cd102c
151432598ca
hexc3a3fcf0

3282304240 has 80 divisors (see below), whose sum is σ = 8431656768. Its totient is φ = 1181954048.

The previous prime is 3282304231. The next prime is 3282304253. The reversal of 3282304240 is 424032823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×32823042402 = 21547042247843955200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3282304199 and 3282304208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21187 + ... + 83746.

Almost surely, 23282304240 is an apocalyptic number.

It is an amenable number.

3282304240 is an abundant number, since it is smaller than the sum of its proper divisors (5149352528).

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

3282304240 is a wasteful number, since it uses less digits than its factorization.

3282304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104986 (or 104980 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3282304240 is about 57291.3976090652. The cubic root of 3282304240 is about 1486.1396157919.

The spelling of 3282304240 in words is "three billion, two hundred eighty-two million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 104933 209866 419732 524665 839464 1049330 1678928 1783861 2098660 2413459 3567722 4197320 4826918 7135444 8394640 8919305 9653836 12067295 14270888 17838610 19307672 24134590 28541776 35677220 38615344 41028803 48269180 71354440 82057606 96538360 142708880 164115212 193076720 205144015 328230424 410288030 656460848 820576060 1641152120 3282304240