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342424341100 = 2252172913675081
BaseRepresentation
bin1001111101110100001…
…01001100101001101100
31012201212010210212000201
410332322011030221230
521102241112403400
6421150234003244
733511410606112
oct4767205145154
91181763725021
10342424341100
11122248682726
1256445276524
13263a124011a
14128056a7ab2
158d91e2906a
hex4fba14ca6c

342424341100 has 144 divisors (see below), whose sum is σ = 814655983680. Its totient is φ = 124351897600.

The previous prime is 342424341029. The next prime is 342424341107. The reversal of 342424341100 is 1143424243.

It is not an unprimeable number, because it can be changed into a prime (342424341107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67390560 + ... + 67395640.

It is an arithmetic number, because the mean of its divisors is an integer number (5657333220).

Almost surely, 2342424341100 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 342424341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407327991840).

342424341100 is an abundant number, since it is smaller than the sum of its proper divisors (472231642580).

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

342424341100 is a wasteful number, since it uses less digits than its factorization.

342424341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 342424341100 its reverse (1143424243), we get a palindrome (343567765343).

The spelling of 342424341100 in words is "three hundred forty-two billion, four hundred twenty-four million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1367 1450 1700 1972 2465 2734 2900 4930 5081 5468 6835 9860 10162 12325 13670 20324 23239 24650 25405 27340 34175 39643 46478 49300 50810 68350 79286 86377 92956 101620 116195 127025 136700 147349 158572 172754 198215 232390 254050 294698 345508 396430 431885 464780 508100 580975 589396 673931 736745 792860 863770 991075 1161950 1347862 1473490 1727540 1982150 2159425 2323900 2504933 2695724 2946980 3369655 3683725 3964300 4318850 5009866 6739310 6945727 7367450 8637700 10019732 12524665 13478620 13891454 14734900 16848275 25049330 27782908 33696550 34728635 50098660 62623325 67393100 69457270 118077359 125246650 138914540 173643175 201426083 236154718 250493300 347286350 402852166 472309436 590386795 694572700 805704332 1007130415 1180773590 2014260830 2361547180 2951933975 3424243411 4028521660 5035652075 5903867950 6848486822 10071304150 11807735900 13696973644 17121217055 20142608300 34242434110 68484868220 85606085275 171212170550 342424341100