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340395830016 = 28311293137519
BaseRepresentation
bin1001111010000010010…
…11000010101100000000
31012112121202210210221120
410331001023002230000
521034112313030031
6420213051552240
733410216546454
oct4750113025400
91175552723846
10340395830016
111213a7632290
1255b79a5b680
1326139bc26c8
141269210a664
158cc3cd3a96
hex4f412c2b00

340395830016 has 144 divisors (see below), whose sum is σ = 991688624640. Its totient is φ = 102797455360.

The previous prime is 340395830009. The next prime is 340395830041. The reversal of 340395830016 is 610038593043.

It is a self number, because there is not a number n which added to its sum of digits gives 340395830016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406505 + ... + 2544023.

It is an arithmetic number, because the mean of its divisors is an integer number (6886726560).

Almost surely, 2340395830016 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 340395830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495844312320).

340395830016 is an abundant number, since it is smaller than the sum of its proper divisors (651292794624).

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

340395830016 is a wasteful number, since it uses less digits than its factorization.

340395830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137842 (or 137828 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 340395830016 in words is "three hundred forty billion, three hundred ninety-five million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 293 352 384 528 586 704 768 879 1056 1172 1408 1758 2112 2344 2816 3223 3516 4224 4688 6446 7032 8448 9376 9669 12892 14064 18752 19338 25784 28128 37504 38676 51568 56256 75008 77352 103136 112512 137519 154704 206272 225024 275038 309408 412544 412557 550076 618816 825088 825114 1100152 1237632 1512709 1650228 2200304 2475264 3025418 3300456 4400608 4538127 6050836 6600912 8801216 9076254 12101672 13201824 17602432 18152508 24203344 26403648 35204864 36305016 40293067 48406688 52807296 72610032 80586134 96813376 105614592 120879201 145220064 161172268 193626752 241758402 290440128 322344536 387253504 443223737 483516804 580880256 644689072 886447474 967033608 1161760512 1289378144 1329671211 1772894948 1934067216 2578756288 2659342422 3545789896 3868134432 5157512576 5318684844 7091579792 7736268864 10315025152 10637369688 14183159584 15472537728 21274739376 28366319168 30945075456 42549478752 56732638336 85098957504 113465276672 170197915008 340395830016