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3381 = 37223
BaseRepresentation
bin110100110101
311122020
4310311
5102011
623353
712600
oct6465
94566
103381
1125a4
121b59
131701
141337
151006
hexd35

• 33812 = 11431161 is the smallest square that contains exactly five digits '1'.


3381 has 12 divisors (see below), whose sum is σ = 5472. Its totient is φ = 1848.

The previous prime is 3373. The next prime is 3389. The reversal of 3381 is 1833.

It is an interprime number because it is at equal distance from previous prime (3373) and next prime (3389).

It is not a de Polignac number, because 3381 - 23 = 3373 is a prime.

It is a super-2 number, since 2×33812 = 22862322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

3381 is a lucky number.

It is a plaindrome in base 9 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (456).

23381 is an apocalyptic number.

It is an amenable number.

3381 is a deficient number, since it is larger than the sum of its proper divisors (2091).

3381 is a wasteful number, since it uses less digits than its factorization.

3381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 33 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 3381 is about 58.1463670404. The cubic root of 3381 is about 15.0088836266.

The spelling of 3381 in words is "three thousand, three hundred eighty-one".

Divisors: 1 3 7 21 23 49 69 147 161 483 1127 3381