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342782110740 = 223579238330347
BaseRepresentation
bin1001111110011110110…
…01111110110000010100
31012202210002000102201010
410333033121332300110
521104004210020430
6421245534132220
733523313603226
oct4771731766024
91182702012633
10342782110740
11122411624313
1256525051070
132642a3b6934
141283add8416
158db3549cb0
hex4fcf67ec14

342782110740 has 96 divisors (see below), whose sum is σ = 972379054080. Its totient is φ = 90210646656.

The previous prime is 342782110729. The next prime is 342782110751. The reversal of 342782110740 is 47011287243.

It is an interprime number because it is at equal distance from previous prime (342782110729) and next prime (342782110751).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11280247 + ... + 11310593.

It is an arithmetic number, because the mean of its divisors is an integer number (10128948480).

Almost surely, 2342782110740 is an apocalyptic number.

342782110740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342782110740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486189527040).

342782110740 is an abundant number, since it is smaller than the sum of its proper divisors (629596943340).

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

342782110740 is a wasteful number, since it uses less digits than its factorization.

342782110740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32821 (or 32819 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

Adding to 342782110740 its reverse (47011287243), we get a palindrome (389793397983).

The spelling of 342782110740 in words is "three hundred forty-two billion, seven hundred eighty-two million, one hundred ten thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2383 4740 4766 7149 9532 11915 14298 23830 28596 30347 35745 47660 60694 71490 91041 121388 142980 151735 182082 188257 303470 364164 376514 455205 564771 606940 753028 910410 941285 1129542 1820820 1882570 2259084 2397413 2823855 3765140 4794826 5647710 7192239 9589652 11295420 11987065 14384478 23974130 28768956 35961195 47948260 71922390 72316901 143844780 144633802 216950703 289267604 361584505 433901406 723169010 867802812 1084753515 1446338020 2169507030 4339014060 5713035179 11426070358 17139105537 22852140716 28565175895 34278211074 57130351790 68556422148 85695527685 114260703580 171391055370 342782110740