Search a number
-
+
1913344 = 2937101
BaseRepresentation
bin111010011001000000000
310121012121121
413103020000
5442211334
6105002024
722156156
oct7231000
93535547
101913344
111097584
12783314
1351cb74
1437b3d6
1527bdb4
hex1d3200

1913344 has 40 divisors (see below), whose sum is σ = 3965148. Its totient is φ = 921600.

The previous prime is 1913341. The next prime is 1913377. The reversal of 1913344 is 4433191.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 473344 = 1200^2 + 688^2 .

It is not an unprimeable number, because it can be changed into a prime (1913341) 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 3 ways as a sum of consecutive naturals, for example, 18894 + ... + 18994.

21913344 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 1913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982574).

1913344 is an abundant number, since it is smaller than the sum of its proper divisors (2051804).

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

1913344 is an equidigital number, since it uses as much as digits as its factorization.

1913344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 1913344 is about 1383.2367837793. The cubic root of 1913344 is about 124.1455107618.

The spelling of 1913344 in words is "one million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 101 128 148 202 256 296 404 512 592 808 1184 1616 2368 3232 3737 4736 6464 7474 9472 12928 14948 18944 25856 29896 51712 59792 119584 239168 478336 956672 1913344