Base | Representation |
---|---|
bin | 1101000001000110010000 |
3 | 20102100220000 |
4 | 31001012100 |
5 | 1333143433 |
6 | 201050000 |
7 | 41001411 |
oct | 15010620 |
9 | 6370800 |
10 | 3412368 |
11 | 1a20843 |
12 | 1186900 |
13 | 92626b |
14 | 64b808 |
15 | 476113 |
hex | 341190 |
3412368 has 50 divisors (see below), whose sum is σ = 9880134. Its totient is φ = 1137024.
The previous prime is 3412361. The next prime is 3412373. The reversal of 3412368 is 8632143.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 2396304 + 1016064 = 1548^2 + 1008^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3412361) 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 9 ways as a sum of consecutive naturals, for example, 21 + ... + 2612.
Almost surely, 23412368 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 3412368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940067).
3412368 is an abundant number, since it is smaller than the sum of its proper divisors (6467766).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3412368 is a wasteful number, since it uses less digits than its factorization.
3412368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2653 (or 2638 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 3412368 is about 1847.2595919361. The cubic root of 3412368 is about 150.5515693226.
It can be divided in two parts, 34123 and 68, that added together give a triangular number (34191 = T261).
The spelling of 3412368 in words is "three million, four hundred twelve thousand, three hundred sixty-eight".
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