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1340400 = 243521117
BaseRepresentation
bin101000111001111110000
32112002200110
411013033300
5320343100
644421320
714251605
oct5071760
92462613
101340400
11836076
12547840
1337c149
1426c6ac
151b7250
hex1473f0

1340400 has 60 divisors (see below), whose sum is σ = 4297592. Its totient is φ = 357120.

The previous prime is 1340387. The next prime is 1340401. The reversal of 1340400 is 40431.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 1758.

21340400 is an apocalyptic number.

1340400 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 1340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148796).

1340400 is an abundant number, since it is smaller than the sum of its proper divisors (2957192).

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

1340400 is a wasteful number, since it uses less digits than its factorization.

1340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1340400 is about 1157.7564510725. The cubic root of 1340400 is about 110.2583459419.

Adding to 1340400 its reverse (40431), we get a palindrome (1380831).

The spelling of 1340400 in words is "one million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1117 1200 2234 3351 4468 5585 6702 8936 11170 13404 16755 17872 22340 26808 27925 33510 44680 53616 55850 67020 83775 89360 111700 134040 167550 223400 268080 335100 446800 670200 1340400