Search a number
-
+
1342400 = 2652839
BaseRepresentation
bin101000111101111000000
32112012102112
411013233000
5320424100
644434452
714260463
oct5075700
92465375
101342400
11837624
12548a28
13380027
1426d2da
151b7b35
hex147bc0

1342400 has 42 divisors (see below), whose sum is σ = 3307080. Its totient is φ = 536320.

The previous prime is 1342379. The next prime is 1342403. The reversal of 1342400 is 42431.

1342400 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1181 + ... + 2019.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

21342400 is an apocalyptic number.

1342400 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 1342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653540).

1342400 is an abundant number, since it is smaller than the sum of its proper divisors (1964680).

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

1342400 is an equidigital number, since it uses as much as digits as its factorization.

1342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1342400 is about 1158.6198686368. The cubic root of 1342400 is about 110.3131572185.

Adding to 1342400 its reverse (42431), we get a palindrome (1384831).

The spelling of 1342400 in words is "one million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 839 1600 1678 3356 4195 6712 8390 13424 16780 20975 26848 33560 41950 53696 67120 83900 134240 167800 268480 335600 671200 1342400