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3034020314000 = 245313317368117
BaseRepresentation
bin101100001001101001101…
…100111111101110010000
3101202001100002111021211202
4230021221230333232100
5344202133200022000
610241450520530332
7432125565104024
oct54115154775620
911661302437752
103034020314000
11a6a7a2409165
1241001b3209a8
13190150aa9a10
14a6bc1262384
1553dc62a6dd5
hex2c269b3fb90

3034020314000 has 160 divisors (see below), whose sum is σ = 7925533420896. Its totient is φ = 1116716697600.

The previous prime is 3034020313969. The next prime is 3034020314011. The reversal of 3034020314000 is 4130204303.

It can be written as a sum of positive squares in 16 ways, for example, as 3021325334416 + 12694979584 = 1738196^2 + 112672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8057942 + ... + 8426058.

Almost surely, 23034020314000 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 3034020314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962766710448).

3034020314000 is an abundant number, since it is smaller than the sum of its proper divisors (4891513106896).

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

3034020314000 is a wasteful number, since it uses less digits than its factorization.

3034020314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368470 (or 368454 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3034020314000 its reverse (4130204303), we get a palindrome (3038150518303).

The spelling of 3034020314000 in words is "three trillion, thirty-four billion, twenty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 317 325 400 500 520 634 650 1000 1040 1268 1300 1585 1625 2000 2536 2600 3170 3250 4121 5072 5200 6340 6500 7925 8242 12680 13000 15850 16484 20605 25360 26000 31700 32968 39625 41210 63400 65936 79250 82420 103025 126800 158500 164840 206050 317000 329680 368117 412100 515125 634000 736234 824200 1030250 1472468 1648400 1840585 2060500 2944936 3681170 4121000 4785521 5889872 7362340 8242000 9202925 9571042 14724680 18405850 19142084 23927605 29449360 36811700 38284168 46014625 47855210 73623400 76568336 92029250 95710420 116693089 119638025 147246800 184058500 191420840 233386178 239276050 368117000 382841680 466772356 478552100 583465445 598190125 736234000 933544712 957104200 1166930890 1196380250 1517010157 1867089424 1914208400 2333861780 2392760500 2917327225 3034020314 4667723560 4785521000 5834654450 6068040628 7585050785 9335447120 9571042000 11669308900 12136081256 14586636125 15170101570 23338617800 24272162512 29173272250 30340203140 37925253925 46677235600 58346544500 60680406280 75850507850 116693089000 121360812560 151701015700 189626269625 233386178000 303402031400 379252539250 606804062800 758505078500 1517010157000 3034020314000