Search a number
-
+
3331416 = 2331112619
BaseRepresentation
bin1100101101010101011000
320021020211210
430231111120
51323101131
6155223120
740213404
oct14552530
96236753
103331416
111975a40
121147aa0
138c846a
1462a104
1545c146
hex32d558

3331416 has 32 divisors (see below), whose sum is σ = 9086400. Its totient is φ = 1009440.

The previous prime is 3331409. The next prime is 3331423. The reversal of 3331416 is 6141333.

3331416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3331409) and next prime (3331423).

It is a super-2 number, since 2×33314162 = 22196665130112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3331392 and 3331401.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6046 + ... + 6573.

It is an arithmetic number, because the mean of its divisors is an integer number (283950).

Almost surely, 23331416 is an apocalyptic number.

It is an amenable number.

3331416 is an abundant number, since it is smaller than the sum of its proper divisors (5754984).

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

3331416 is a wasteful number, since it uses less digits than its factorization.

3331416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12639 (or 12635 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 3331416 is about 1825.2166994634. The cubic root of 3331416 is about 149.3515115697.

Adding to 3331416 its reverse (6141333), we get a palindrome (9472749).

The spelling of 3331416 in words is "three million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 12619 25238 37857 50476 75714 100952 138809 151428 277618 302856 416427 555236 832854 1110472 1665708 3331416