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3331140 = 223559941
BaseRepresentation
bin1100101101010001000100
320021020110120
430231101010
51323044030
6155221540
740212531
oct14552104
96236416
103331140
11197580a
1211478b0
138c82b7
14629d88
1545c010
hex32d444

3331140 has 48 divisors (see below), whose sum is σ = 9495360. Its totient is φ = 872320.

The previous prime is 3331129. The next prime is 3331151. The reversal of 3331140 is 411333.

It is an interprime number because it is at equal distance from previous prime (3331129) and next prime (3331151).

It is a super-2 number, since 2×33311402 = 22192987399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (197820).

Almost surely, 23331140 is an apocalyptic number.

3331140 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 3331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747680).

3331140 is an abundant number, since it is smaller than the sum of its proper divisors (6164220).

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

3331140 is a wasteful number, since it uses less digits than its factorization.

3331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3331140 is about 1825.1410904366. The cubic root of 3331140 is about 149.3473869817.

Adding to 3331140 its reverse (411333), we get a palindrome (3742473).

The spelling of 3331140 in words is "three million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 941 1180 1770 1882 2823 3540 3764 4705 5646 9410 11292 14115 18820 28230 55519 56460 111038 166557 222076 277595 333114 555190 666228 832785 1110380 1665570 3331140