Search a number
-
+
1093344 = 25371627
BaseRepresentation
bin100001010111011100000
32001112210020
410022323200
5234441334
635233440
712202410
oct4127340
92045706
101093344
1168749a
12448880
132c3865
14206640
15168e49
hex10aee0

1093344 has 48 divisors (see below), whose sum is σ = 3282048. Its totient is φ = 312192.

The previous prime is 1093331. The next prime is 1093357. The reversal of 1093344 is 4433901.

It is an interprime number because it is at equal distance from previous prime (1093331) and next prime (1093357).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10933442 = 2390802204672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (68376).

21093344 is an apocalyptic number.

1093344 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 1093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641024).

1093344 is an abundant number, since it is smaller than the sum of its proper divisors (2188704).

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

1093344 is a wasteful number, since it uses less digits than its factorization.

1093344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1093344 is about 1045.6309100251. The cubic root of 1093344 is about 103.0193824083.

The spelling of 1093344 in words is "one million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1627 3254 4881 6508 9762 11389 13016 19524 22778 26032 34167 39048 45556 52064 68334 78096 91112 136668 156192 182224 273336 364448 546672 1093344