Search a number
-
+
3335040 = 27335193
BaseRepresentation
bin1100101110001110000000
320021102211000
430232032000
51323210130
6155252000
740230102
oct14561600
96242730
103335040
111978735
12114a000
138c9cc7
1462b572
1545d260
hex32e380

3335040 has 128 divisors (see below), whose sum is σ = 11872800. Its totient is φ = 884736.

The previous prime is 3335021. The next prime is 3335047. The reversal of 3335040 is 405333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33350402 = 22244983603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335047) 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, 17184 + ... + 17376.

Almost surely, 23335040 is an apocalyptic number.

3335040 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 3335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936400).

3335040 is an abundant number, since it is smaller than the sum of its proper divisors (8537760).

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

3335040 is a wasteful number, since it uses less digits than its factorization.

3335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3335040 is about 1826.2091884557. The cubic root of 3335040 is about 149.4056480825.

The spelling of 3335040 in words is "three million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 193 216 240 270 288 320 360 384 386 432 480 540 576 579 640 720 772 864 960 965 1080 1152 1158 1440 1544 1728 1737 1920 1930 2160 2316 2880 2895 3088 3456 3474 3860 4320 4632 5211 5760 5790 6176 6948 7720 8640 8685 9264 10422 11580 12352 13896 15440 17280 17370 18528 20844 23160 24704 26055 27792 30880 34740 37056 41688 46320 52110 55584 61760 69480 74112 83376 92640 104220 111168 123520 138960 166752 185280 208440 222336 277920 333504 370560 416880 555840 667008 833760 1111680 1667520 3335040