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301344142340 = 225171923746073
BaseRepresentation
bin1000110001010011000…
…00101011010000000100
31001210211012011112101202
410120221200223100010
514414123100023330
6350234030442032
730525405642563
oct4305140532004
91053735145352
10301344142340
11106887a0433a
124a49b663318
13225554509c7
1410829873bda
157c8a6bd445
hex462982b404

301344142340 has 48 divisors (see below), whose sum is σ = 670096938672. Its totient is φ = 113438846976.

The previous prime is 301344142279. The next prime is 301344142349. The reversal of 301344142340 is 43241443103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13410244 + 301330732096 = 3662^2 + 548936^2 .

It is not an unprimeable number, because it can be changed into a prime (301344142349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6517544 + ... + 6563616.

It is an arithmetic number, because the mean of its divisors is an integer number (13960352889).

Almost surely, 2301344142340 is an apocalyptic number.

It is an amenable number.

301344142340 is an abundant number, since it is smaller than the sum of its proper divisors (368752796332).

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

301344142340 is a wasteful number, since it uses less digits than its factorization.

301344142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65336 (or 65334 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 301344142340 its reverse (43241443103), we get a palindrome (344585585443).

The spelling of 301344142340 in words is "three hundred one billion, three hundred forty-four million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 19237 38474 46073 76948 92146 96185 184292 192370 230365 327029 384740 460730 654058 783241 921460 1308116 1566482 1635145 3132964 3270290 3916205 6540580 7832410 15664820 886306301 1772612602 3545225204 4431531505 8863063010 15067207117 17726126020 30134414234 60268828468 75336035585 150672071170 301344142340