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342420423300 = 223352311407789
BaseRepresentation
bin1001111101110011101…
…10010000001010000100
31012201211212102210211000
410332321312100022010
521102234112021200
6421150014013300
733511332401004
oct4767166201204
91181755383730
10342420423300
1112224644717a
1256443aa7230
13263a049aab7
1412804d68004
158d91903300
hex4fb9d90284

342420423300 has 144 divisors (see below), whose sum is σ = 1104360566400. Its totient is φ = 91018281600.

The previous prime is 342420423299. The next prime is 342420423307. The reversal of 342420423300 is 3324024243.

342420423300 is a `hidden beast` number, since 3 + 4 + 2 + 420 + 4 + 233 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342420423307) 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, 635806 + ... + 1043594.

It is an arithmetic number, because the mean of its divisors is an integer number (7669170600).

Almost surely, 2342420423300 is an apocalyptic number.

342420423300 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 342420423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552180283200).

342420423300 is an abundant number, since it is smaller than the sum of its proper divisors (761940143100).

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

342420423300 is a wasteful number, since it uses less digits than its factorization.

342420423300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408123 (or 408110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 342420423300 its reverse (3324024243), we get a palindrome (345744447543).

The spelling of 342420423300 in words is "three hundred forty-two billion, four hundred twenty million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 311 450 540 622 675 900 933 1244 1350 1555 1866 2700 2799 3110 3732 4665 5598 6220 7775 8397 9330 11196 13995 15550 16794 18660 23325 27990 31100 33588 41985 46650 55980 69975 83970 93300 139950 167940 209925 279900 407789 419850 815578 839700 1223367 1631156 2038945 2446734 3670101 4077890 4893468 6116835 7340202 8155780 10194725 11010303 12233670 14680404 18350505 20389450 22020606 24467340 30584175 36701010 40778900 44041212 55051515 61168350 73402020 91752525 110103030 122336700 126822379 183505050 220206060 253644758 275257575 367010100 380467137 507289516 550515150 634111895 760934274 1101030300 1141401411 1268223790 1521868548 1902335685 2282802822 2536447580 3170559475 3424204233 3804671370 4565605644 5707007055 6341118950 6848408466 7609342740 9511678425 11414014110 12682237900 13696816932 17121021165 19023356850 22828028220 28535035275 34242042330 38046713700 57070070550 68484084660 85605105825 114140141100 171210211650 342420423300