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1340144 = 241317379
BaseRepresentation
bin101000111001011110000
32112002022222
411013023300
5320341034
644420212
714251061
oct5071360
92462288
101340144
11835963
12547668
1337bcb0
1426c568
151b712e
hex1472f0

1340144 has 40 divisors (see below), whose sum is σ = 2968560. Its totient is φ = 580608.

The previous prime is 1340113. The next prime is 1340149. The reversal of 1340144 is 4410431.

1340144 = T145 + T146 + ... + T222.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3347 + ... + 3725.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

21340144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484280).

1340144 is an abundant number, since it is smaller than the sum of its proper divisors (1628416).

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

1340144 is a wasteful number, since it uses less digits than its factorization.

1340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1340144 is about 1157.6458871347. The cubic root of 1340144 is about 110.2513261633.

Adding to 1340144 its reverse (4410431), we get a palindrome (5750575).

The spelling of 1340144 in words is "one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 379 442 758 884 1516 1768 3032 3536 4927 6064 6443 9854 12886 19708 25772 39416 51544 78832 83759 103088 167518 335036 670072 1340144