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2378640285 = 3257103167439
BaseRepresentation
bin1000110111000111…
…0010101110011101
320010202211110001100
42031301302232131
514332412442120
61032010303313
7112642052220
oct21561625635
96122743040
102378640285
11101075371a
12564727b39
132bba4a678
14187c9d5b7
15ddc57490
hex8dc72b9d

2378640285 has 96 divisors (see below), whose sum is σ = 4797112320. Its totient is φ = 1067935104.

The previous prime is 2378640263. The next prime is 2378640293. The reversal of 2378640285 is 5820468732.

2378640285 is a `hidden beast` number, since 237 + 8 + 6 + 402 + 8 + 5 = 666.

It is not a de Polignac number, because 2378640285 - 28 = 2378640029 is a prime.

It is a super-3 number, since 3×23786402853 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 2418472035 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 2378640285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5418096 + ... + 5418534.

It is an arithmetic number, because the mean of its divisors is an integer number (49969920).

Almost surely, 22378640285 is an apocalyptic number.

It is an amenable number.

2378640285 is an abundant number, since it is smaller than the sum of its proper divisors (2418472035).

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

2378640285 is a wasteful number, since it uses less digits than its factorization.

2378640285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2378640285 is about 48771.3059595496. The cubic root of 2378640285 is about 1334.8821425223.

The spelling of 2378640285 in words is "two billion, three hundred seventy-eight million, six hundred forty thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 167 309 315 439 501 515 721 835 927 1169 1317 1503 1545 2163 2195 2505 3073 3507 3605 3951 4635 5845 6489 6585 7515 9219 10521 10815 15365 17201 17535 19755 27657 32445 45217 46095 51603 52605 73313 86005 120407 135651 138285 154809 219939 226085 258015 316519 361221 366565 406953 513191 602035 659817 678255 774045 949557 1083663 1099695 1539573 1582595 1806105 2034765 2565955 2848671 3299085 4618719 4747785 5418315 7551239 7697865 14243355 22653717 23093595 37756195 52858673 67961151 113268585 158576019 264293365 339805755 475728057 792880095 2378640285