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1340360640 = 263253115013
BaseRepresentation
bin100111111100100…
…0100011111000000
310110102010101010200
41033321010133000
510221113020030
6341000325200
745133606653
oct11771043700
93412111120
101340360640
11628664873
12314a73800
131848c9a08
14ca02989a
157ca13d60
hex4fe447c0

1340360640 has 168 divisors, whose sum is σ = 4759317888. Its totient is φ = 345876480.

The previous prime is 1340360633. The next prime is 1340360669. The reversal of 1340360640 is 460630431.

1340360640 is a `hidden beast` number, since 13 + 4 + 0 + 3 + 6 + 0 + 640 = 666.

It is a super-2 number, since 2×13403606402 = 3593133290522419200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81774 + ... + 96786.

Almost surely, 21340360640 is an apocalyptic number.

1340360640 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 1340360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379658944).

1340360640 is an abundant number, since it is smaller than the sum of its proper divisors (3418957248).

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

1340360640 is a wasteful number, since it uses less digits than its factorization.

1340360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15067 (or 15054 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1340360640 is about 36610.9360710703. The cubic root of 1340360640 is about 1102.5726670909.

The spelling of 1340360640 in words is "one billion, three hundred forty million, three hundred sixty thousand, six hundred forty".