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3411216 = 243223689
BaseRepresentation
bin1101000000110100010000
320102022022100
431000310100
51333124331
6201040400
740665144
oct15006420
96368270
103411216
111a1a996
121186100
13925893
1464b224
15475ae6
hex340d10

3411216 has 30 divisors (see below), whose sum is σ = 9547070. Its totient is φ = 1137024.

The previous prime is 3411211. The next prime is 3411223. The reversal of 3411216 is 6121143.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 1440000 = 1404^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3411211) 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 5 ways as a sum of consecutive naturals, for example, 11701 + ... + 11988.

Almost surely, 23411216 is an apocalyptic number.

3411216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3411216 is an abundant number, since it is smaller than the sum of its proper divisors (6135854).

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

3411216 is a wasteful number, since it uses less digits than its factorization.

3411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703 (or 23694 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3411216 is about 1846.9477523742. The cubic root of 3411216 is about 150.5346255728.

Adding to 3411216 its reverse (6121143), we get a palindrome (9532359).

The spelling of 3411216 in words is "three million, four hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23689 47378 71067 94756 142134 189512 213201 284268 379024 426402 568536 852804 1137072 1705608 3411216