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348380810000 = 2454331105251
BaseRepresentation
bin1010001000111010001…
…11010100101100010000
31020022020020221211020222
411010131013110230100
521201440441410000
6424013253452212
734112126011466
oct5043507245420
91208206854228
10348380810000
111248249809a3
1257628041068
1326b102a7032
1412c0c7c4836
1590ded13a85
hex511d1d4b10

348380810000 has 100 divisors (see below), whose sum is σ = 846021049104. Its totient is φ = 138930000000.

The previous prime is 348380809967. The next prime is 348380810003. The reversal of 348380810000 is 18083843.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3483808100002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348380810003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3257375 + ... + 3362625.

Almost surely, 2348380810000 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 348380810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423010524552).

348380810000 is an abundant number, since it is smaller than the sum of its proper divisors (497640239104).

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

348380810000 is a wasteful number, since it uses less digits than its factorization.

348380810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105610 (or 105589 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

Adding to 348380810000 its reverse (18083843), we get a palindrome (348398893843).

The spelling of 348380810000 in words is "three hundred forty-eight billion, three hundred eighty million, eight hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 331 400 500 625 662 1000 1250 1324 1655 2000 2500 2648 3310 5000 5296 6620 8275 10000 13240 16550 26480 33100 41375 66200 82750 105251 132400 165500 206875 210502 331000 413750 421004 526255 662000 827500 842008 1052510 1655000 1684016 2105020 2631275 3310000 4210040 5262550 8420080 10525100 13156375 21050200 26312750 34838081 42100400 52625500 65781875 69676162 105251000 131563750 139352324 174190405 210502000 263127500 278704648 348380810 526255000 557409296 696761620 870952025 1052510000 1393523240 1741904050 2787046480 3483808100 4354760125 6967616200 8709520250 13935232400 17419040500 21773800625 34838081000 43547601250 69676162000 87095202500 174190405000 348380810000