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3481392 = 243294161
BaseRepresentation
bin1101010001111100110000
320112212120110
431101330300
51342401032
6202341320
741406555
oct15217460
96485513
103481392
111a68692
1211ba840
1394b7c5
14668a2c
1548b7cc
hex351f30

3481392 has 80 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 1075200.

The previous prime is 3481391. The next prime is 3481397. The reversal of 3481392 is 2931843.

3481392 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3481391) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57042 + ... + 57102.

It is an arithmetic number, because the mean of its divisors is an integer number (121086).

Almost surely, 23481392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3481392 is an abundant number, since it is smaller than the sum of its proper divisors (6205488).

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

3481392 is a wasteful number, since it uses less digits than its factorization.

3481392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3481392 is about 1865.8488684778. The cubic root of 3481392 is about 151.5598996330.

It can be divided in two parts, 348 and 1392, that multiplied together give a square (484416 = 6962).

The spelling of 3481392 in words is "three million, four hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 61 82 87 116 122 123 164 174 183 232 244 246 328 348 366 464 488 492 656 696 732 976 984 1189 1392 1464 1769 1968 2378 2501 2928 3538 3567 4756 5002 5307 7076 7134 7503 9512 10004 10614 14152 14268 15006 19024 20008 21228 28304 28536 30012 40016 42456 57072 60024 72529 84912 120048 145058 217587 290116 435174 580232 870348 1160464 1740696 3481392