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1345066560 = 2634551893
BaseRepresentation
bin101000000101100…
…0001011001000000
310110201222110110000
41100023001121000
510223314112220
6341245240000
745221606565
oct12013013100
93421873400
101345066560
11630289462
12316563000
13185886996
14ca8d286c
157d143390
hex502c1640

1345066560 has 140 divisors (see below), whose sum is σ = 4784730588. Its totient is φ = 358677504.

The previous prime is 1345066517. The next prime is 1345066577. The reversal of 1345066560 is 656605431.

1345066560 is a `hidden beast` number, since 1 + 34 + 5 + 0 + 66 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 267126336 + 1077940224 = 16344^2 + 32832^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27 + ... + 51866.

Almost surely, 21345066560 is an apocalyptic number.

1345066560 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 1345066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392365294).

1345066560 is an abundant number, since it is smaller than the sum of its proper divisors (3439664028).

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

1345066560 is an equidigital number, since it uses as much as digits as its factorization.

1345066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51922 (or 51903 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1345066560 is about 36675.1490794516. The cubic root of 1345066560 is about 1103.8615138199.

The spelling of 1345066560 in words is "one billion, three hundred forty-five million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 51893 103786 155679 207572 259465 311358 415144 467037 518930 622716 778395 830288 934074 1037860 1245432 1401111 1556790 1660576 1868148 2075720 2335185 2490864 2802222 3113580 3321152 3736296 4151440 4203333 4670370 4981728 5604444 6227160 7005555 7472592 8302880 8406666 9340740 9963456 11208888 12454320 14011110 14945184 16605760 16813332 18681480 21016665 22417776 24908640 28022220 29890368 33626664 37362960 42033330 44835552 49817280 56044440 67253328 74725920 84066660 89671104 112088880 134506656 149451840 168133320 224177760 269013312 336266640 448355520 672533280 1345066560