Search a number
-
+
3481380 = 223457307
BaseRepresentation
bin1101010001111100100100
320112212120000
431101330210
51342401010
6202341300
741406540
oct15217444
96485500
103481380
111a68681
1211ba830
1394b7b6
14668a20
1548b7c0
hex351f24

3481380 has 120 divisors (see below), whose sum is σ = 12522048. Its totient is φ = 793152.

The previous prime is 3481339. The next prime is 3481391. The reversal of 3481380 is 831843.

3481380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11187 + ... + 11493.

Almost surely, 23481380 is an apocalyptic number.

3481380 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 3481380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261024).

3481380 is an abundant number, since it is smaller than the sum of its proper divisors (9040668).

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

3481380 is a wasteful number, since it uses less digits than its factorization.

3481380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3481380 is about 1865.8456527805. The cubic root of 3481380 is about 151.5597254957.

It can be divided in two parts, 348 and 1380, that added together give a cube (1728 = 123).

The spelling of 3481380 in words is "three million, four hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 307 315 324 378 405 420 540 567 614 630 756 810 921 945 1134 1228 1260 1535 1620 1842 1890 2149 2268 2763 2835 3070 3684 3780 4298 4605 5526 5670 6140 6447 8289 8596 9210 10745 11052 11340 12894 13815 16578 18420 19341 21490 24867 25788 27630 32235 33156 38682 41445 42980 49734 55260 58023 64470 77364 82890 96705 99468 116046 124335 128940 165780 174069 193410 232092 248670 290115 348138 386820 497340 580230 696276 870345 1160460 1740690 3481380