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3306336240 = 2435109211599
BaseRepresentation
bin1100010100010010…
…1010111111110000
322112102110021122210
43011010222333300
523232410224430
61304030132120
7144635252154
oct30504527760
98472407583
103306336240
111447382399
12783351040
13408cc039c
14235189064
151454052b0
hexc512aff0

3306336240 has 160 divisors (see below), whose sum is σ = 10410048000. Its totient is φ = 868008960.

The previous prime is 3306336233. The next prime is 3306336247. The reversal of 3306336240 is 426336033.

3306336240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3306336233) and next prime (3306336247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3306336198 and 3306336207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306336247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5519461 + ... + 5520059.

It is an arithmetic number, because the mean of its divisors is an integer number (65062800).

Almost surely, 23306336240 is an apocalyptic number.

3306336240 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 3306336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205024000).

3306336240 is an abundant number, since it is smaller than the sum of its proper divisors (7103711760).

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

3306336240 is a wasteful number, since it uses less digits than its factorization.

3306336240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3306336240 is about 57500.7499081534. The cubic root of 3306336240 is about 1489.7578153887.

The spelling of 3306336240 in words is "three billion, three hundred six million, three hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 211 218 240 327 422 436 545 599 633 654 844 872 1055 1090 1198 1266 1308 1635 1688 1744 1797 2110 2180 2396 2532 2616 2995 3165 3270 3376 3594 4220 4360 4792 5064 5232 5990 6330 6540 7188 8440 8720 8985 9584 10128 11980 12660 13080 14376 16880 17970 22999 23960 25320 26160 28752 35940 45998 47920 50640 65291 68997 71880 91996 114995 126389 130582 137994 143760 183992 195873 229990 252778 261164 275988 326455 344985 367984 379167 391746 459980 505556 522328 551976 631945 652910 689970 758334 783492 919960 979365 1011112 1044656 1103952 1263890 1305820 1379940 1516668 1566984 1839920 1895835 1958730 2022224 2527780 2611640 2759880 3033336 3133968 3791670 3917460 5055560 5223280 5519760 6066672 7583340 7834920 10111120 13776401 15166680 15669840 27552802 30333360 41329203 55105604 68882005 82658406 110211208 137764010 165316812 206646015 220422416 275528020 330633624 413292030 551056040 661267248 826584060 1102112080 1653168120 3306336240