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1342016 = 26131613
BaseRepresentation
bin101000111101001000000
32112011220022
411013221000
5320421031
644433012
714256404
oct5075100
92464808
101342016
11837305
12548768
1337cac0
1426d104
151b797b
hex147a40

1342016 has 28 divisors (see below), whose sum is σ = 2869692. Its totient is φ = 619008.

The previous prime is 1342007. The next prime is 1342049. The reversal of 1342016 is 6102431.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 846400 = 704^2 + 920^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1341985 and 1342003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (102489).

21342016 is an apocalyptic number.

1342016 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 1342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434846).

1342016 is an abundant number, since it is smaller than the sum of its proper divisors (1527676).

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

1342016 is a wasteful number, since it uses less digits than its factorization.

1342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1342016 is about 1158.4541423811. The cubic root of 1342016 is about 110.3026376784.

Adding to 1342016 its reverse (6102431), we get a palindrome (7444447).

The spelling of 1342016 in words is "one million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1613 3226 6452 12904 20969 25808 41938 51616 83876 103232 167752 335504 671008 1342016