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1344530560 = 2754574597
BaseRepresentation
bin101000000100011…
…1110100010000000
310110200222020012011
41100020332202000
510223144434220
6341225542304
745214215112
oct12010764200
93420866164
101344530560
1162aa5278a
12316344994
13185729a19
14ca7d33b2
157d08965a
hex5023e880

1344530560 has 64 divisors (see below), whose sum is σ = 3222002520. Its totient is φ = 536518656.

The previous prime is 1344530533. The next prime is 1344530591. The reversal of 1344530560 is 650354431.

It can be written as a sum of positive squares in 4 ways, for example, as 1017354816 + 327175744 = 31896^2 + 18088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290182 + ... + 294778.

Almost surely, 21344530560 is an apocalyptic number.

1344530560 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 1344530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611001260).

1344530560 is an abundant number, since it is smaller than the sum of its proper divisors (1877471960).

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

1344530560 is an equidigital number, since it uses as much as digits as its factorization.

1344530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 1344530560 is about 36667.8409508932. The cubic root of 1344530560 is about 1103.7148672032.

Adding to 1344530560 its reverse (650354431), we get a palindrome (1994884991).

The spelling of 1344530560 in words is "one billion, three hundred forty-four million, five hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 457 640 914 1828 2285 3656 4570 4597 7312 9140 9194 14624 18280 18388 22985 29248 36560 36776 45970 58496 73120 73552 91940 146240 147104 183880 292480 294208 367760 588416 735520 1471040 2100829 2942080 4201658 8403316 10504145 16806632 21008290 33613264 42016580 67226528 84033160 134453056 168066320 268906112 336132640 672265280 1344530560