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1340246016 = 21132194389
BaseRepresentation
bin100111111100010…
…1000100000000000
310110101220112220100
41033320220200000
510221100333031
6340554042400
745132621534
oct11770504000
93411815810
101340246016
1162859673a
12314a19400
131848897a5
14c9dd9bc4
157c9dede6
hex4fe28800

1340246016 has 288 divisors, whose sum is σ = 4216212000. Its totient is φ = 408748032.

The previous prime is 1340246009. The next prime is 1340246023. The reversal of 1340246016 is 6106420431.

1340246016 is a `hidden beast` number, since 1 + 34 + 0 + 24 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1340246009) and next prime (1340246023).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15058900 + ... + 15058988.

It is an arithmetic number, because the mean of its divisors is an integer number (14639625).

Almost surely, 21340246016 is an apocalyptic number.

1340246016 is a gapful number since it is divisible by the number (16) 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 1340246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108106000).

1340246016 is an abundant number, since it is smaller than the sum of its proper divisors (2875965984).

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

1340246016 is a wasteful number, since it uses less digits than its factorization.

1340246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1340246016 is about 36609.3706037129. The cubic root of 1340246016 is about 1102.5412365220.

Adding to 1340246016 its reverse (6106420431), we get a palindrome (7446666447).

The spelling of 1340246016 in words is "one billion, three hundred forty million, two hundred forty-six thousand, sixteen".