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1345014720 = 2635572353
BaseRepresentation
bin101000000101011…
…0100101111000000
310110201212211100000
41100022310233000
510223310432340
6341244200000
745221302500
oct12012645700
93421784300
101345014720
11630253515
12316539000
131858691ca
14ca8bba00
157d132d30
hex502b4bc0

1345014720 has 504 divisors, whose sum is σ = 5596731504. Its totient is φ = 306561024.

The previous prime is 1345014719. The next prime is 1345014757. The reversal of 1345014720 is 274105431.

1345014720 is a `hidden beast` number, since 134 + 501 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810064 + ... + 3810416.

It is an arithmetic number, because the mean of its divisors is an integer number (11104626).

Almost surely, 21345014720 is an apocalyptic number.

1345014720 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 1345014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798365752).

1345014720 is an abundant number, since it is smaller than the sum of its proper divisors (4251716784).

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

1345014720 is an equidigital number, since it uses as much as digits as its factorization.

1345014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1345014720 is about 36674.4423270484. The cubic root of 1345014720 is about 1103.8473323864.

The spelling of 1345014720 in words is "one billion, three hundred forty-five million, fourteen thousand, seven hundred twenty".