Search a number
-
+
5346738 = 23217101173
BaseRepresentation
bin10100011001010110110010
3101001122100100
4110121112302
52332043423
6310333230
763306105
oct24312662
911048310
105346738
1130220a1
12195a216
131152867
149d273c
15709343
hex5195b2

5346738 has 48 divisors (see below), whose sum is σ = 12459096. Its totient is φ = 1651200.

The previous prime is 5346727. The next prime is 5346743. The reversal of 5346738 is 8376435.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4915089 + 431649 = 2217^2 + 657^2 .

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 30820 + ... + 30992.

Almost surely, 25346738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229548).

5346738 is an abundant number, since it is smaller than the sum of its proper divisors (7112358).

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

5346738 is a wasteful number, since it uses less digits than its factorization.

5346738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5346738 is about 2312.3014509358. The cubic root of 5346738 is about 174.8623461726.

It can be divided in two parts, 5346 and 738, that added together give a square (6084 = 782).

The spelling of 5346738 in words is "five million, three hundred forty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 173 202 303 306 346 519 606 909 1038 1557 1717 1818 2941 3114 3434 5151 5882 8823 10302 15453 17473 17646 26469 30906 34946 52419 52938 104838 157257 297041 314514 594082 891123 1782246 2673369 5346738