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2427327342 = 2321131395459
BaseRepresentation
bin1001000010101110…
…0001001101101110
320021011110000010200
42100223201031232
514432343433332
61040510014330
7114102641046
oct22053411556
96234400120
102427327342
111036187a60
12578aa73a6
132c8b6628b
14190534726
15e317317c
hex90ae136e

2427327342 has 48 divisors (see below), whose sum is σ = 5922408960. Its totient is φ = 711824400.

The previous prime is 2427327299. The next prime is 2427327359. The reversal of 2427327342 is 2437237242.

2427327342 is a `hidden beast` number, since 24 + 273 + 27 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2427327297 and 2427327306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191592 + ... + 203867.

It is an arithmetic number, because the mean of its divisors is an integer number (123383520).

Almost surely, 22427327342 is an apocalyptic number.

2427327342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2427327342 is an abundant number, since it is smaller than the sum of its proper divisors (3495081618).

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

2427327342 is a wasteful number, since it uses less digits than its factorization.

2427327342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395509 (or 395506 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 2427327342 is about 49267.9139197105. The cubic root of 2427327342 is about 1343.9283517024.

It can be divided in two parts, 24273 and 27342, that added together give a palindrome (51615).

The spelling of 2427327342 in words is "two billion, four hundred twenty-seven million, three hundred twenty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 395459 790918 1186377 2372754 3559131 4350049 7118262 8700098 12259229 13050147 24518458 26100294 36777687 39150441 73555374 78300882 110333061 134851519 220666122 269703038 404554557 809109114 1213663671 2427327342