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1361434305 = 357116773241
BaseRepresentation
bin101000100100101…
…1101011011000001
310111212210000202210
41101021131123001
510242011344210
6343032132333
745511000140
oct12111353301
93455700683
101361434305
11639548820
1231bb370a9
13189097a3a
14ccb53757
157e7c7e20
hex5125d6c1

1361434305 has 128 divisors (see below), whose sum is σ = 2805682176. Its totient is φ = 547430400.

The previous prime is 1361434231. The next prime is 1361434313. The reversal of 1361434305 is 5034341631.

It is not a de Polignac number, because 1361434305 - 27 = 1361434177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5648985 + ... + 5649225.

It is an arithmetic number, because the mean of its divisors is an integer number (21919392).

Almost surely, 21361434305 is an apocalyptic number.

1361434305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361434305 is an abundant number, since it is smaller than the sum of its proper divisors (1444247871).

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

1361434305 is a wasteful number, since it uses less digits than its factorization.

1361434305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1361434305 is about 36897.6192321402. The cubic root of 1361434305 is about 1108.3210027208.

Adding to 1361434305 its reverse (5034341631), we get a palindrome (6395775936).

The spelling of 1361434305 in words is "one billion, three hundred sixty-one million, four hundred thirty-four thousand, three hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 67 73 77 105 165 201 219 231 241 335 365 385 469 511 723 737 803 1005 1095 1155 1205 1407 1533 1687 2211 2345 2409 2555 2651 3615 3685 4015 4891 5061 5159 5621 7035 7665 7953 8435 11055 12045 13255 14673 15477 16147 16863 17593 18557 24455 25305 25795 28105 34237 39765 48441 52779 53801 55671 73365 77385 80735 84315 87965 92785 102711 113029 123151 161403 171185 177617 193523 242205 263895 269005 278355 339087 369453 376607 513555 532851 565145 580569 615755 807015 888085 967615 1129821 1178731 1243319 1354661 1695435 1847265 1883035 2664255 2902845 3536193 3729957 4063983 5649105 5893655 6216595 6773305 8251117 12966041 17680965 18649785 20319915 24753351 38898123 41255585 64830205 90762287 123766755 194490615 272286861 453811435 1361434305