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1340118000 = 243353132383
BaseRepresentation
bin100111111100000…
…1001001111110000
310110101200001022000
41033320021033300
510221032234000
6340551214000
745131546364
oct11770111760
93411601260
101340118000
11628509541
12314977300
13184843440
14c9da52a4
157c9b7000
hex4fe093f0

1340118000 has 640 divisors, whose sum is σ = 5459650560. Its totient is φ = 311731200.

The previous prime is 1340117993. The next prime is 1340118071. The reversal of 1340118000 is 8110431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16145959 + ... + 16146041.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 21340118000 is an apocalyptic number.

1340118000 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 1340118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

1340118000 is an abundant number, since it is smaller than the sum of its proper divisors (4119532560).

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

1340118000 is a wasteful number, since it uses less digits than its factorization.

1340118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1340118000 is about 36607.6221571410. The cubic root of 1340118000 is about 1102.5061316703.

Adding to 1340118000 its reverse (8110431), we get a palindrome (1348228431).

The spelling of 1340118000 in words is "one billion, three hundred forty million, one hundred eighteen thousand".