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1344786480 = 243256167457
BaseRepresentation
bin101000000100111…
…1101000000110000
310110201110020020200
41100021331000300
510223231131410
6341235235200
745216332202
oct12011750060
93421406220
101344786480
11630107a94
12316448b00
131857b935b
14ca85c772
157d0da3c0
hex5027d030

1344786480 has 240 divisors, whose sum is σ = 4668983904. Its totient is φ = 346705920.

The previous prime is 1344786467. The next prime is 1344786481. The reversal of 1344786480 is 846874431.

1344786480 is a `hidden beast` number, since 134 + 478 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1344786481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2942412 + ... + 2942868.

Almost surely, 21344786480 is an apocalyptic number.

1344786480 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 1344786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334491952).

1344786480 is an abundant number, since it is smaller than the sum of its proper divisors (3324197424).

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

1344786480 is a wasteful number, since it uses less digits than its factorization.

1344786480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 1344786480 is about 36671.3304912707. The cubic root of 1344786480 is about 1103.7848903517.

The spelling of 1344786480 in words is "one billion, three hundred forty-four million, seven hundred eighty-six thousand, four hundred eighty".