Search a number
-
+
3414016 = 2111667
BaseRepresentation
bin1101000001100000000000
320102110011001
431001200000
51333222031
6201101344
741006254
oct15014000
96373131
103414016
111a22001
121187854
13926c38
1464c264
15476861
hex341800

3414016 has 24 divisors (see below), whose sum is σ = 6830460. Its totient is φ = 1705984.

The previous prime is 3414013. The next prime is 3414017. The reversal of 3414016 is 6104143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3413984 and 3414002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215 + ... + 2881.

Almost surely, 23414016 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 3414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415230).

3414016 is an abundant number, since it is smaller than the sum of its proper divisors (3416444).

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

3414016 is an equidigital number, since it uses as much as digits as its factorization.

3414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3414016 is about 1847.7056042563. The cubic root of 3414016 is about 150.5758016695.

Adding to 3414016 its reverse (6104143), we get a palindrome (9518159).

The spelling of 3414016 in words is "three million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1667 2048 3334 6668 13336 26672 53344 106688 213376 426752 853504 1707008 3414016