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2423765340 = 2232571189653
BaseRepresentation
bin1001000001110111…
…1011100101011100
320020220202000222200
42100131323211130
514430440442330
61040301411500
7114030444153
oct22035734534
96226660880
102423765340
111034174857
12577869b90
132c81b9b99
1418dc8859a
15e2bbca60
hex9077b95c

2423765340 has 72 divisors (see below), whose sum is σ = 7455678048. Its totient is φ = 637230720.

The previous prime is 2423765339. The next prime is 2423765341. The reversal of 2423765340 is 435673242.

2423765340 is a `hidden beast` number, since 24 + 237 + 65 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (2423765339) and next prime (2423765341).

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

It is a junction number, because it is equal to n+sod(n) for n = 2423765295 and 2423765304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423765341) 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 23 ways as a sum of consecutive naturals, for example, 82047 + ... + 107606.

It is an arithmetic number, because the mean of its divisors is an integer number (103551084).

Almost surely, 22423765340 is an apocalyptic number.

2423765340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2423765340 is an abundant number, since it is smaller than the sum of its proper divisors (5031912708).

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

2423765340 is a wasteful number, since it uses less digits than its factorization.

2423765340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189739 (or 189734 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2423765340 is about 49231.7513399635. The cubic root of 2423765340 is about 1343.2706435425.

The spelling of 2423765340 in words is "two billion, four hundred twenty-three million, seven hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 189653 379306 568959 758612 948265 1137918 1706877 1896530 2275836 2844795 3413754 3793060 5689590 6827508 8534385 11379180 13465363 17068770 26930726 34137540 40396089 53861452 67326815 80792178 121188267 134653630 161584356 201980445 242376534 269307260 403960890 484753068 605941335 807921780 1211882670 2423765340