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1344654528 = 26373113217
BaseRepresentation
bin101000000100101…
…1100110011000000
310110201012112020120
41100021130303000
510223212421103
6341232340240
745215242410
oct12011346300
93421175216
101344654528
11630027938
123163a4680
13185771289
14ca826640
157d0b1253
hex5025ccc0

1344654528 has 112 divisors (see below), whose sum is σ = 4080321024. Its totient is φ = 382832640.

The previous prime is 1344654527. The next prime is 1344654533. The reversal of 1344654528 is 8254564431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1344654528.

It is not an unprimeable number, because it can be changed into a prime (1344654527) 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 15 ways as a sum of consecutive naturals, for example, 416376 + ... + 419592.

Almost surely, 21344654528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040160512).

1344654528 is an abundant number, since it is smaller than the sum of its proper divisors (2735666496).

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

1344654528 is a wasteful number, since it uses less digits than its factorization.

1344654528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3540 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 1344654528 is about 36669.5313305202. The cubic root of 1344654528 is about 1103.7487876221.

The spelling of 1344654528 in words is "one billion, three hundred forty-four million, six hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 311 336 448 622 672 933 1244 1344 1866 2177 2488 3217 3732 4354 4976 6434 6531 7464 8708 9651 9952 12868 13062 14928 17416 19302 19904 22519 25736 26124 29856 34832 38604 45038 51472 52248 59712 67557 69664 77208 90076 102944 104496 135114 139328 154416 180152 205888 208992 270228 308832 360304 417984 540456 617664 720608 1000487 1080912 1441216 2000974 2161824 3001461 4001948 4323648 6002922 7003409 8003896 12005844 14006818 16007792 21010227 24011688 28013636 32015584 42020454 48023376 56027272 64031168 84040908 96046752 112054544 168081816 192093504 224109088 336163632 448218176 672327264 1344654528