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1347138 = 2331319101
BaseRepresentation
bin101001000111001000010
32112102221000
411020321002
5321102023
644512430
714310342
oct5107102
92472830
101347138
11840141
1254b716
13382230
14270d22
151b9243
hex148e42

1347138 has 64 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 388800.

The previous prime is 1347127. The next prime is 1347149. The reversal of 1347138 is 8317431.

It is an interprime number because it is at equal distance from previous prime (1347127) and next prime (1347149).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13288 + ... + 13388.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

21347138 is an apocalyptic number.

1347138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).

1347138 is an abundant number, since it is smaller than the sum of its proper divisors (2080062).

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

1347138 is a wasteful number, since it uses less digits than its factorization.

1347138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1347138 is about 1160.6627417127. The cubic root of 1347138 is about 110.4427882346.

1347138 divided by its sum of digits (27) gives a palindrome (49894).

It can be divided in two parts, 1347 and 138, that added together give a triangular number (1485 = T54).

The spelling of 1347138 in words is "one million, three hundred forty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 101 114 117 171 202 234 247 303 342 351 494 513 606 702 741 909 1026 1313 1482 1818 1919 2223 2626 2727 3838 3939 4446 5454 5757 6669 7878 11514 11817 13338 17271 23634 24947 34542 35451 49894 51813 70902 74841 103626 149682 224523 449046 673569 1347138