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3307740960 = 25357394399
BaseRepresentation
bin1100010100101000…
…0001111100100000
322112112002122120110
43011022001330200
523233240202320
61304120211320
7144653222436
oct30512017440
98475078513
103307740960
111448151817
12783909b40
13409392894
14235432d56
151455d15e0
hexc5281f20

3307740960 has 96 divisors (see below), whose sum is σ = 10562227200. Its totient is φ = 869971968.

The previous prime is 3307740941. The next prime is 3307740967. The reversal of 3307740960 is 690477033.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3307740967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12160 + ... + 82239.

It is an arithmetic number, because the mean of its divisors is an integer number (110023200).

Almost surely, 23307740960 is an apocalyptic number.

3307740960 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 3307740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281113600).

3307740960 is an abundant number, since it is smaller than the sum of its proper divisors (7254486240).

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

3307740960 is a wasteful number, since it uses less digits than its factorization.

3307740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94490 (or 94482 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 3307740960 is about 57512.9634082613. The cubic root of 3307740960 is about 1489.9687635149.

The spelling of 3307740960 in words is "three billion, three hundred seven million, seven hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5840 7008 8760 11680 17520 35040 94399 188798 283197 377596 471995 566394 755192 943990 1132788 1415985 1510384 1887980 2265576 2831970 3020768 3775960 4531152 5663940 6891127 7551920 9062304 11327880 13782254 15103840 20673381 22655760 27564508 34455635 41346762 45311520 55129016 68911270 82693524 103366905 110258032 137822540 165387048 206733810 220516064 275645080 330774096 413467620 551290160 661548192 826935240 1102580320 1653870480 3307740960