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3342014000 = 245313173743
BaseRepresentation
bin1100011100110011…
…0001011000110000
322121220120220100022
43013030301120300
523321023422000
61311342543012
7145550436023
oct30714613060
98556526308
103342014000
111465530646
12793297a68
134135027a0
14239bd51ba
15148601585
hexc7331630

3342014000 has 160 divisors (see below), whose sum is σ = 8764689024. Its totient is φ = 1225190400.

The previous prime is 3342013999. The next prime is 3342014021. The reversal of 3342014000 is 4102433.

It is a super-2 number, since 2×33420140002 = 22338115152392000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3342014000.

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, 4497629 + ... + 4498371.

Almost surely, 23342014000 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 3342014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382344512).

3342014000 is an abundant number, since it is smaller than the sum of its proper divisors (5422675024).

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

3342014000 is a wasteful number, since it uses less digits than its factorization.

3342014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3342014000 is about 57810.1548172983. The cubic root of 3342014000 is about 1495.0971775327.

Adding to 3342014000 its reverse (4102433), we get a palindrome (3346116433).

The spelling of 3342014000 in words is "three billion, three hundred forty-two million, fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 173 200 208 250 260 325 346 400 500 520 650 692 743 865 1000 1040 1300 1384 1486 1625 1730 2000 2249 2600 2768 2972 3250 3460 3715 4325 4498 5200 5944 6500 6920 7430 8650 8996 9659 11245 11888 13000 13840 14860 17300 17992 18575 19318 21625 22490 26000 29720 34600 35984 37150 38636 43250 44980 48295 56225 59440 69200 74300 77272 86500 89960 92875 96590 112450 128539 148600 154544 173000 179920 185750 193180 224900 241475 257078 281125 297200 346000 371500 386360 449800 482950 514156 562250 642695 743000 772720 899600 965900 1028312 1124500 1207375 1285390 1486000 1671007 1931800 2056624 2249000 2414750 2570780 3213475 3342014 3863600 4498000 4829500 5141560 6426950 6684028 8355035 9659000 10283120 12853900 13368056 16067375 16710070 19318000 25707800 26736112 32134750 33420140 41775175 51415600 64269500 66840280 83550350 128539000 133680560 167100700 208875875 257078000 334201400 417751750 668402800 835503500 1671007000 3342014000