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3285293040 = 243351980051
BaseRepresentation
bin1100001111010001…
…1001011111110000
322110221212011211000
43003310121133300
523212013334130
61301555122000
7144261346551
oct30364313760
98427764730
103285293040
11143650a317
127782a3300
134048331a3
1423246c328
1514364a260
hexc3d197f0

3285293040 has 160 divisors (see below), whose sum is σ = 11911737600. Its totient is φ = 829958400.

The previous prime is 3285293029. The next prime is 3285293051. The reversal of 3285293040 is 403925823.

3285293040 is a `hidden beast` number, since 328 + 5 + 29 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3285293029) and next prime (3285293051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3285292986 and 3285293004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015 + ... + 81065.

It is an arithmetic number, because the mean of its divisors is an integer number (74448360).

Almost surely, 23285293040 is an apocalyptic number.

3285293040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955868800).

3285293040 is an abundant number, since it is smaller than the sum of its proper divisors (8626444560).

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

3285293040 is a wasteful number, since it uses less digits than its factorization.

3285293040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80092 (or 80080 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3285293040 is about 57317.4758690576. The cubic root of 3285293040 is about 1486.5905618594.

The spelling of 3285293040 in words is "three billion, two hundred eighty-five million, two hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 80051 160102 240153 320204 400255 480306 640408 720459 800510 960612 1200765 1280816 1440918 1520969 1601020 1921224 2161377 2401530 2881836 3041938 3202040 3602295 3842448 4322754 4562907 4803060 5763672 6083876 6404080 7204590 7604845 8645508 9125814 9606120 10806885 11527344 12167752 13688721 14409180 15209690 17291016 18251628 19212240 21613770 22814535 24335504 27377442 28818360 30419380 34582032 36503256 41066163 43227540 45629070 54754884 57636720 60838760 68443605 73006512 82132326 86455080 91258140 109509768 121677520 136887210 164264652 172910160 182516280 205330815 219019536 273774420 328529304 365032560 410661630 547548840 657058608 821323260 1095097680 1642646520 3285293040