Search a number
-
+
1345475280 = 243533116937
BaseRepresentation
bin101000000110010…
…0101001011010000
310110202202020002210
41100030211023100
510223420202110
6341302112120
745225231312
oct12014451320
93422666083
101345475280
11630538546
1231671b640
1318599aa26
14ca99b7b2
157d1c4520
hex503252d0

1345475280 has 80 divisors (see below), whose sum is σ = 4183821504. Its totient is φ = 357688320.

The previous prime is 1345475273. The next prime is 1345475303. The reversal of 1345475280 is 825745431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 70972 + ... + 87908.

Almost surely, 21345475280 is an apocalyptic number.

1345475280 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 1345475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091910752).

1345475280 is an abundant number, since it is smaller than the sum of its proper divisors (2838346224).

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

1345475280 is a wasteful number, since it uses less digits than its factorization.

1345475280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 1345475280 is about 36680.7208217069. The cubic root of 1345475280 is about 1103.9733111591.

The spelling of 1345475280 in words is "one billion, three hundred forty-five million, four hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 13240 15888 16937 19860 26480 33874 39720 50811 67748 79440 84685 101622 135496 169370 203244 254055 270992 338740 406488 508110 677480 812976 1016220 1354960 2032440 4064880 5606147 11212294 16818441 22424588 28030735 33636882 44849176 56061470 67273764 84092205 89698352 112122940 134547528 168184410 224245880 269095056 336368820 448491760 672737640 1345475280