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301342423040 = 2115231319767
BaseRepresentation
bin1000110001010010110…
…10000111100000000000
31001210211001221011221222
410120221122013200000
514414122130014130
6350233525534212
730525355222211
oct4305132074000
91053731834858
10301342423040
11106886a3a62a
124a49ab74368
1322554c9b279
1410829547408
157c8a47dce5
hex4629687800

301342423040 has 192 divisors, whose sum is σ = 760319239680. Its totient is φ = 114404392960.

The previous prime is 301342423037. The next prime is 301342423043. The reversal of 301342423040 is 40324243103.

It is an interprime number because it is at equal distance from previous prime (301342423037) and next prime (301342423043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301342423043) 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, 30848237 + ... + 30858003.

It is an arithmetic number, because the mean of its divisors is an integer number (3959996040).

Almost surely, 2301342423040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301342423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380159619840).

301342423040 is an abundant number, since it is smaller than the sum of its proper divisors (458976816640).

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

301342423040 is a wasteful number, since it uses less digits than its factorization.

301342423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 301342423040 its reverse (40324243103), we get a palindrome (341666666143).

The spelling of 301342423040 in words is "three hundred one billion, three hundred forty-two million, four hundred twenty-three thousand, forty".