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1341305520 = 2435311391297
BaseRepresentation
bin100111111110010…
…1011001010110000
310110110220101021020
41033330223022300
510221333234040
6341032455440
745144623502
oct11774531260
93413811236
101341305520
1162914a765
1231524a580
13184b6ab09
14ca1d3d72
157cb4dcd0
hex4ff2b2b0

1341305520 has 160 divisors (see below), whose sum is σ = 4326389760. Its totient is φ = 343388160.

The previous prime is 1341305519. The next prime is 1341305521. The reversal of 1341305520 is 255031431.

It is an interprime number because it is at equal distance from previous prime (1341305519) and next prime (1341305521).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1341305521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033512 + ... + 1034808.

It is an arithmetic number, because the mean of its divisors is an integer number (27039936).

Almost surely, 21341305520 is an apocalyptic number.

1341305520 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 1341305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163194880).

1341305520 is an abundant number, since it is smaller than the sum of its proper divisors (2985084240).

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

1341305520 is a wasteful number, since it uses less digits than its factorization.

1341305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1341305520 is about 36623.8381385676. The cubic root of 1341305520 is about 1102.8316904519.

Adding to 1341305520 its reverse (255031431), we get a palindrome (1596336951).

The spelling of 1341305520 in words is "one billion, three hundred forty-one million, three hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 139 155 186 240 248 278 310 372 417 465 496 556 620 695 744 834 930 1112 1240 1297 1390 1488 1668 1860 2085 2224 2480 2594 2780 3336 3720 3891 4170 4309 5188 5560 6485 6672 7440 7782 8340 8618 10376 11120 12927 12970 15564 16680 17236 19455 20752 21545 25854 25940 31128 33360 34472 38910 40207 43090 51708 51880 62256 64635 68944 77820 80414 86180 103416 103760 120621 129270 155640 160828 172360 180283 201035 206832 241242 258540 311280 321656 344720 360566 402070 482484 517080 540849 603105 643312 721132 804140 901415 964968 1034160 1081698 1206210 1442264 1608280 1802830 1929936 2163396 2412420 2704245 2884528 3216560 3605660 4326792 4824840 5408490 5588773 7211320 8653584 9649680 10816980 11177546 14422640 16766319 21633960 22355092 27943865 33532638 43267920 44710184 55887730 67065276 83831595 89420368 111775460 134130552 167663190 223550920 268261104 335326380 447101840 670652760 1341305520