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3801330 = 234513192
BaseRepresentation
bin1110100000000011110010
321011010110000
432200003302
51433120310
6213250430
744211411
oct16400362
97133400
103801330
112166aa5
121333a16
13a31310
1470d478
155014c0
hex3a00f2

3801330 has 120 divisors (see below), whose sum is σ = 11617452. Its totient is φ = 886464.

The previous prime is 3801299. The next prime is 3801331. The reversal of 3801330 is 331083.

It can be written as a sum of positive squares in 2 ways, for example, as 3538161 + 263169 = 1881^2 + 513^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3801331) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 200061 + ... + 200079.

Almost surely, 23801330 is an apocalyptic number.

3801330 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 3801330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808726).

3801330 is an abundant number, since it is smaller than the sum of its proper divisors (7816122).

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

3801330 is a wasteful number, since it uses less digits than its factorization.

3801330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3801330 is about 1949.6999769195. The cubic root of 3801330 is about 156.0672786726.

The spelling of 3801330 in words is "three million, eight hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 361 390 405 494 513 570 585 702 722 741 810 855 1026 1053 1083 1170 1235 1482 1539 1710 1755 1805 2106 2166 2223 2470 2565 3078 3249 3510 3610 3705 4446 4693 5130 5265 5415 6498 6669 7410 7695 9386 9747 10530 10830 11115 13338 14079 15390 16245 19494 20007 22230 23465 28158 29241 32490 33345 40014 42237 46930 48735 58482 66690 70395 84474 97470 100035 126711 140790 146205 200070 211185 253422 292410 380133 422370 633555 760266 1267110 1900665 3801330