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1354000 = 2453677
BaseRepresentation
bin101001010100100010000
32112210100011
411022210100
5321312000
645004304
714336344
oct5124420
92483304
101354000
1184530a
12553694
133853ab
14273624
151bb2ba
hex14a910

1354000 has 40 divisors (see below), whose sum is σ = 3278808. Its totient is φ = 540800.

The previous prime is 1353983. The next prime is 1354007. The reversal of 1354000 is 4531.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 1327104 = 164^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1354007) 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 7 ways as a sum of consecutive naturals, for example, 1662 + ... + 2338.

21354000 is an apocalyptic number.

1354000 is a gapful number since it is divisible by the number (10) 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 1354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639404).

1354000 is an abundant number, since it is smaller than the sum of its proper divisors (1924808).

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

1354000 is an equidigital number, since it uses as much as digits as its factorization.

1354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1354000 is about 1163.6150566231. The cubic root of 1354000 is about 110.6299938163.

Adding to 1354000 its reverse (4531), we get a palindrome (1358531).

The spelling of 1354000 in words is "one million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 677 1000 1354 2000 2708 3385 5416 6770 10832 13540 16925 27080 33850 54160 67700 84625 135400 169250 270800 338500 677000 1354000