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1338048 = 263223101
BaseRepresentation
bin101000110101011000000
32111222110100
411012223000
5320304143
644402400
714242005
oct5065300
92458410
101338048
11834328
12546400
1337b05a
1426b8ac
151b66d3
hex146ac0

1338048 has 84 divisors (see below), whose sum is σ = 4041648. Its totient is φ = 422400.

The previous prime is 1338041. The next prime is 1338049. The reversal of 1338048 is 8408331.

It is not an unprimeable number, because it can be changed into a prime (1338041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13198 + ... + 13298.

21338048 is an apocalyptic number.

1338048 is a gapful number since it is divisible by the number (18) 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 1338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020824).

1338048 is an abundant number, since it is smaller than the sum of its proper divisors (2703600).

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

1338048 is a wasteful number, since it uses less digits than its factorization.

1338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1338048 is about 1156.7402474194. The cubic root of 1338048 is about 110.1938180750.

The spelling of 1338048 in words is "one million, three hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 101 138 144 184 192 202 207 276 288 303 368 404 414 552 576 606 736 808 828 909 1104 1212 1472 1616 1656 1818 2208 2323 2424 3232 3312 3636 4416 4646 4848 6464 6624 6969 7272 9292 9696 13248 13938 14544 18584 19392 20907 27876 29088 37168 41814 55752 58176 74336 83628 111504 148672 167256 223008 334512 446016 669024 1338048