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1340142300 = 2233527174397
BaseRepresentation
bin100111111100000…
…1111001011011100
310110101201021122000
41033320033023130
510221034023200
6340551522300
745132010260
oct11770171334
93411637560
101340142300
11628525822
12314989390
13184851513
14c9db00a0
157c9be300
hex4fe0f2dc

1340142300 has 576 divisors, whose sum is σ = 5389655040. Its totient is φ = 278691840.

The previous prime is 1340142289. The next prime is 1340142313. The reversal of 1340142300 is 32410431.

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 191 ways as a sum of consecutive naturals, for example, 13815852 + ... + 13815948.

It is an arithmetic number, because the mean of its divisors is an integer number (9357040).

Almost surely, 21340142300 is an apocalyptic number.

1340142300 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 1340142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694827520).

1340142300 is an abundant number, since it is smaller than the sum of its proper divisors (4049512740).

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

1340142300 is a wasteful number, since it uses less digits than its factorization.

1340142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340142300 is about 36607.9540537299. The cubic root of 1340142300 is about 1102.5127954459.

Adding to 1340142300 its reverse (32410431), we get a palindrome (1372552731).

The spelling of 1340142300 in words is "one billion, three hundred forty million, one hundred forty-two thousand, three hundred".