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1348060320 = 25345414359
BaseRepresentation
bin101000001011001…
…1100010010100000
310110221121120010000
41100112130102200
510230100412240
6341433340000
745256216005
oct12026342240
93427546100
101348060320
11631a43742
12317567600
13186394539
14cb0718ac
157d535430
hex5059c4a0

1348060320 has 480 divisors, whose sum is σ = 5071429440. Its totient is φ = 336752640.

The previous prime is 1348060297. The next prime is 1348060333. The reversal of 1348060320 is 230608431.

It is a happy number.

1348060320 is a `hidden beast` number, since 1 + 34 + 8 + 0 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 22848451 + ... + 22848509.

It is an arithmetic number, because the mean of its divisors is an integer number (10565478).

Almost surely, 21348060320 is an apocalyptic number.

1348060320 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 1348060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535714720).

1348060320 is an abundant number, since it is smaller than the sum of its proper divisors (3723369120).

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

1348060320 is a wasteful number, since it uses less digits than its factorization.

1348060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

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

The square root of 1348060320 is about 36715.9409521260. The cubic root of 1348060320 is about 1104.6798742341.

Adding to 1348060320 its reverse (230608431), we get a palindrome (1578668751).

The spelling of 1348060320 in words is "one billion, three hundred forty-eight million, sixty thousand, three hundred twenty".