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1338368 = 2101307
BaseRepresentation
bin101000110110000000000
32111222220012
411012300000
5320311433
644404052
714242643
oct5066000
92458805
101338368
11834599
12546628
1337b245
1426ba5a
151b6848
hex146c00

1338368 has 22 divisors (see below), whose sum is σ = 2677476. Its totient is φ = 668672.

The previous prime is 1338367. The next prime is 1338371. The reversal of 1338368 is 8638331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1338361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371 + ... + 1677.

21338368 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 1338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338738).

1338368 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1338368 is an equidigital number, since it uses as much as digits as its factorization.

1338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1309 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 1338368 is about 1156.8785588816. The cubic root of 1338368 is about 110.2026018185.

The spelling of 1338368 in words is "one million, three hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1307 2614 5228 10456 20912 41824 83648 167296 334592 669184 1338368