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3335080 = 235743277
BaseRepresentation
bin1100101110001110101000
320021102212111
430232032220
51323210310
6155252104
740230160
oct14561650
96242774
103335080
111978771
12114a034
138ca028
1462b5a0
1545d28a
hex32e3a8

3335080 has 64 divisors (see below), whose sum is σ = 8807040. Its totient is φ = 1112832.

The previous prime is 3335071. The next prime is 3335081. The reversal of 3335080 is 805333.

3335080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33350802 = 22245517212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3335081) 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 15 ways as a sum of consecutive naturals, for example, 11902 + ... + 12178.

It is an arithmetic number, because the mean of its divisors is an integer number (137610).

Almost surely, 23335080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3335080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403520).

3335080 is an abundant number, since it is smaller than the sum of its proper divisors (5471960).

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

3335080 is a wasteful number, since it uses less digits than its factorization.

3335080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3335080 is about 1826.2201400707. The cubic root of 3335080 is about 149.4062453968.

The spelling of 3335080 in words is "three million, three hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 277 280 301 344 430 554 602 860 1108 1204 1385 1505 1720 1939 2216 2408 2770 3010 3878 5540 6020 7756 9695 11080 11911 12040 15512 19390 23822 38780 47644 59555 77560 83377 95288 119110 166754 238220 333508 416885 476440 667016 833770 1667540 3335080