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3366090 = 2335713137
BaseRepresentation
bin1100110101110011001010
320100000102000
430311303022
51330203330
6200051430
740416450
oct14656312
96300360
103366090
111999aa2
121163b76
1390b190
146389d0
15467560
hex335cca

3366090 has 128 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 705024.

The previous prime is 3366089. The next prime is 3366107. The reversal of 3366090 is 906633.

It is a super-2 number, since 2×33660902 = 22661123776200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24502 + ... + 24638.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

Almost surely, 23366090 is an apocalyptic number.

3366090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

3366090 is an abundant number, since it is smaller than the sum of its proper divisors (7762230).

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

3366090 is a wasteful number, since it uses less digits than its factorization.

3366090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3366090 is about 1834.6907096293. The cubic root of 3366090 is about 149.8678836693.

The spelling of 3366090 in words is "three million, three hundred sixty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 137 182 189 195 210 234 270 273 274 315 351 378 390 411 455 546 585 630 685 702 819 822 910 945 959 1170 1233 1365 1370 1638 1755 1781 1890 1918 2055 2457 2466 2730 2877 3510 3562 3699 4095 4110 4795 4914 5343 5754 6165 7398 8190 8631 8905 9590 10686 12285 12330 12467 14385 16029 17262 17810 18495 24570 24934 25893 26715 28770 32058 36990 37401 43155 48087 51786 53430 62335 74802 80145 86310 96174 112203 124670 129465 160290 187005 224406 240435 258930 336609 374010 480870 561015 673218 1122030 1683045 3366090