Search a number
-
+
1358336 = 297379
BaseRepresentation
bin101001011101000000000
32120000021202
411023220000
5321431321
645040332
714355110
oct5135000
92500252
101358336
118485a1
125560a8
13387365
14275040
151bc70b
hex14ba00

1358336 has 40 divisors (see below), whose sum is σ = 3109920. Its totient is φ = 580608.

The previous prime is 1358333. The next prime is 1358353. The reversal of 1358336 is 6338531.

It is a junction number, because it is equal to n+sod(n) for n = 1358299 and 1358308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358333) 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, 3395 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (77748).

21358336 is an apocalyptic number.

1358336 is a gapful number since it is divisible by the number (16) 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 1358336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554960).

1358336 is an abundant number, since it is smaller than the sum of its proper divisors (1751584).

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

1358336 is an frugal number, since it uses more digits than its factorization.

1358336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 1358336 is about 1165.4767264944. The cubic root of 1358336 is about 110.7479604616.

The spelling of 1358336 in words is "one million, three hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 379 448 512 758 896 1516 1792 2653 3032 3584 5306 6064 10612 12128 21224 24256 42448 48512 84896 97024 169792 194048 339584 679168 1358336