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342314041400 = 235211315146639
BaseRepresentation
bin1001111101100111000…
…00011100000000111000
31012201120110021001021122
410332303200130000320
521102024343311100
6421131253524412
733505601225462
oct4766340340070
91181513231248
10342314041400
111221a1396951
1256414343708
1326384431526
14127d4b95132
158d873dc985
hex4fb381c038

342314041400 has 48 divisors (see below), whose sum is σ = 802923386400. Its totient is φ = 135713876480.

The previous prime is 342314041373. The next prime is 342314041463. The reversal of 342314041400 is 4140413243.

It is a self number, because there is not a number n which added to its sum of digits gives 342314041400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7550720 + ... + 7595919.

It is an arithmetic number, because the mean of its divisors is an integer number (16727570550).

Almost surely, 2342314041400 is an apocalyptic number.

It is an amenable number.

342314041400 is an abundant number, since it is smaller than the sum of its proper divisors (460609345000).

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

342314041400 is a wasteful number, since it uses less digits than its factorization.

342314041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146768 (or 15146759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 342314041400 its reverse (4140413243), we get a palindrome (346454454643).

The spelling of 342314041400 in words is "three hundred forty-two billion, three hundred fourteen million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 15146639 30293278 60586556 75733195 121173112 151466390 302932780 378665975 605865560 757331950 1514663900 1711570207 3029327800 3423140414 6846280828 8557851035 13692561656 17115702070 34231404140 42789255175 68462808280 85578510350 171157020700 342314041400