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1305544340 = 225199735419
BaseRepresentation
bin100110111010001…
…0000011010010100
310100222121112011002
41031310100122110
510133204404330
6333314202432
744231641502
oct11564203224
93328545132
101305544340
1160aa44871
12305283418
1317a629759
14c5565672
1579937e45
hex4dd10694

1305544340 has 48 divisors (see below), whose sum is σ = 2915774400. Its totient is φ = 489618432.

The previous prime is 1305544319. The next prime is 1305544349. The reversal of 1305544340 is 434455031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305544349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19151 + ... + 54569.

It is an arithmetic number, because the mean of its divisors is an integer number (60745300).

Almost surely, 21305544340 is an apocalyptic number.

1305544340 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 1305544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457887200).

1305544340 is an abundant number, since it is smaller than the sum of its proper divisors (1610230060).

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

1305544340 is a wasteful number, since it uses less digits than its factorization.

1305544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35544 (or 35542 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 1305544340 is about 36132.3171136311. The cubic root of 1305544340 is about 1092.9422346532.

Adding to 1305544340 its reverse (434455031), we get a palindrome (1739999371).

The spelling of 1305544340 in words is "one billion, three hundred five million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 3686 7372 9215 18430 35419 36860 70838 141676 177095 354190 672961 708380 1345922 2691844 3364805 3435643 6729610 6871286 13459220 13742572 17178215 34356430 65277217 68712860 130554434 261108868 326386085 652772170 1305544340