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1338336 = 25331549
BaseRepresentation
bin101000110101111100000
32111222212000
411012233200
5320311321
644404000
714242566
oct5065740
92458760
101338336
1183456a
12546600
1337b21c
1426ba36
151b6826
hex146be0

1338336 has 48 divisors (see below), whose sum is σ = 3906000. Its totient is φ = 445824.

The previous prime is 1338331. The next prime is 1338343. The reversal of 1338336 is 6338331.

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

It is a super-2 number, since 2×13383362 = 3582286497792, which contains 22 as substring.

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

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 (1338331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (81375).

21338336 is an apocalyptic number.

1338336 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 1338336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953000).

1338336 is an abundant number, since it is smaller than the sum of its proper divisors (2567664).

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

1338336 is a wasteful number, since it uses less digits than its factorization.

1338336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1338336 is about 1156.8647284795. The cubic root of 1338336 is about 110.2017235071.

The spelling of 1338336 in words is "one million, three hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 41823 49568 55764 74352 83646 111528 148704 167292 223056 334584 446112 669168 1338336