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3239740080 = 243254795737
BaseRepresentation
bin1100000100011010…
…1000001010110000
322100210010211220100
43001012220022300
523113333140310
61253250512400
7143166223233
oct30106501260
98323124810
103239740080
111412826745
12764b95700
133c8273c85
1422a3b141a
1513e64cec0
hexc11a82b0

3239740080 has 120 divisors (see below), whose sum is σ = 11111735232. Its totient is φ = 845540352.

The previous prime is 3239740067. The next prime is 3239740087. The reversal of 3239740080 is 800479323.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (3239740087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14029 + ... + 81708.

Almost surely, 23239740080 is an apocalyptic number.

3239740080 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 3239740080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555867616).

3239740080 is an abundant number, since it is smaller than the sum of its proper divisors (7871995152).

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

3239740080 is a wasteful number, since it uses less digits than its factorization.

3239740080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95803 (or 95794 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3239740080 is about 56918.7146727682. The cubic root of 3239740080 is about 1479.6876745375.

The spelling of 3239740080 in words is "three billion, two hundred thirty-nine million, seven hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 95737 191474 287211 382948 478685 574422 765896 861633 957370 1148844 1436055 1531792 1723266 1914740 2297688 2872110 3446532 3829480 4308165 4499639 4595376 5744220 6893064 7658960 8616330 8999278 11488440 13498917 13786128 17232660 17998556 22498195 22976880 26997834 34465320 35997112 40496751 44996390 53995668 67494585 68930640 71994224 80993502 89992780 107991336 134989170 161987004 179985560 202483755 215982672 269978340 323974008 359971120 404967510 539956680 647948016 809935020 1079913360 1619870040 3239740080