Search a number
-
+
1346826 = 231331557
BaseRepresentation
bin101001000110100001010
32112102111110
411020310022
5321044301
644511150
714306415
oct5106412
92472443
101346826
1183a988
1254b4b6
13382050
14270b7c
151b90d6
hex148d0a

1346826 has 32 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 400320.

The previous prime is 1346773. The next prime is 1346827. The reversal of 1346826 is 6286431.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 1 + 32 + 49 + 67 + 83 + 219 + 67 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1346793 and 1346802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

21346826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1346826 is an abundant number, since it is smaller than the sum of its proper divisors (1652982).

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

1346826 is a wasteful number, since it uses less digits than its factorization.

1346826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606.

The product of its digits is 6912, while the sum is 30.

The square root of 1346826 is about 1160.5283279610. The cubic root of 1346826 is about 110.4342613155.

The spelling of 1346826 in words is "one million, three hundred forty-six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 557 806 1114 1209 1671 2418 3342 7241 14482 17267 21723 34534 43446 51801 103602 224471 448942 673413 1346826