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1341144 = 23337887
BaseRepresentation
bin101000111011011011000
32112010201000
411013123120
5320404034
644425000
714254020
oct5073330
92463630
101341144
11836692
12548160
1337c59c
1426ca80
151b7599
hex1476d8

1341144 has 64 divisors (see below), whose sum is σ = 4262400. Its totient is φ = 382752.

The previous prime is 1341143. The next prime is 1341167. The reversal of 1341144 is 4411431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 1955.

It is an arithmetic number, because the mean of its divisors is an integer number (66600).

21341144 is an apocalyptic number.

1341144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131200).

1341144 is an abundant number, since it is smaller than the sum of its proper divisors (2921256).

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

1341144 is a wasteful number, since it uses less digits than its factorization.

1341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 1341144 is about 1158.0777175993. The cubic root of 1341144 is about 110.2787421014.

Adding to 1341144 its reverse (4411431), we get a palindrome (5752575).

It can be divided in two parts, 1341 and 144, that added together give a triangular number (1485 = T54).

The spelling of 1341144 in words is "one million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 887 1512 1774 2661 3548 5322 6209 7096 7983 10644 12418 15966 18627 21288 23949 24836 31932 37254 47898 49672 55881 63864 74508 95796 111762 149016 167643 191592 223524 335286 447048 670572 1341144