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3475080 = 2332572197
BaseRepresentation
bin1101010000011010001000
320112112220200
431100122020
51342200310
6202252200
741352300
oct15203210
96475820
103475080
111a63974
1211b7060
1394897b
14666600
154899c0
hex350688

3475080 has 144 divisors (see below), whose sum is σ = 13204620. Its totient is φ = 790272.

The previous prime is 3475079. The next prime is 3475141. The reversal of 3475080 is 805743.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 213444 = 1806^2 + 462^2 .

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17542 + ... + 17738.

Almost surely, 23475080 is an apocalyptic number.

3475080 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 3475080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602310).

3475080 is an abundant number, since it is smaller than the sum of its proper divisors (9729540).

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

3475080 is a wasteful number, since it uses less digits than its factorization.

3475080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3475080 is about 1864.1566457785. The cubic root of 3475080 is about 151.4682480921.

The spelling of 3475080 in words is "three million, four hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 197 210 245 252 280 294 315 360 392 394 420 441 490 504 588 591 630 735 788 840 882 980 985 1176 1182 1260 1379 1470 1576 1764 1773 1960 1970 2205 2364 2520 2758 2940 2955 3528 3546 3940 4137 4410 4728 5516 5880 5910 6895 7092 7880 8274 8820 8865 9653 11032 11820 12411 13790 14184 16548 17640 17730 19306 20685 23640 24822 27580 28959 33096 35460 38612 41370 48265 49644 55160 57918 62055 70920 77224 82740 86877 96530 99288 115836 124110 144795 165480 173754 193060 231672 248220 289590 347508 386120 434385 496440 579180 695016 868770 1158360 1737540 3475080