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348008101408 = 2511988659379
BaseRepresentation
bin1010001000001101110…
…01100011011000100000
31020021021021122021012001
411010012321203120200
521200210033221113
6423512301213344
734066652024512
oct5040671433040
91207237567161
10348008101408
11124653556470
1257543261254
1326a80ccc8c6
1412bb50c5bb2
1590bc2417dd
hex5106e63620

348008101408 has 24 divisors (see below), whose sum is σ = 747426491280. Its totient is φ = 158185500480.

The previous prime is 348008101403. The next prime is 348008101421. The reversal of 348008101408 is 804101800843.

It is a super-2 number, since 2×3480081014082 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348008101403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494329338 + ... + 494330041.

It is an arithmetic number, because the mean of its divisors is an integer number (31142770470).

Almost surely, 2348008101408 is an apocalyptic number.

It is an amenable number.

348008101408 is an abundant number, since it is smaller than the sum of its proper divisors (399418389872).

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

348008101408 is a wasteful number, since it uses less digits than its factorization.

348008101408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988659400 (or 988659392 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 348008101408 in words is "three hundred forty-eight billion, eight million, one hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 988659379 1977318758 3954637516 7909275032 10875253169 15818550064 21750506338 31637100128 43501012676 87002025352 174004050704 348008101408