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348050014160 = 2456017238977
BaseRepresentation
bin1010001000010010110…
…01011011111111010000
31020021101012111122200012
411010021121123333100
521200301300423120
6423520355414052
734101001210232
oct5041131337720
91207335448605
10348050014160
11124675183102
12575552b4328
1326a898b5c54
1412bba8b6252
1590c0c701c5
hex510965bfd0

348050014160 has 40 divisors (see below), whose sum is σ = 810562844616. Its totient is φ = 138988339200.

The previous prime is 348050014121. The next prime is 348050014163. The reversal of 348050014160 is 61410050843.

It can be written as a sum of positive squares in 4 ways, for example, as 29258786704 + 318791227456 = 171052^2 + 564616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3480500141602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348050014163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3571409 + ... + 3667568.

Almost surely, 2348050014160 is an apocalyptic number.

It is an amenable number.

348050014160 is an abundant number, since it is smaller than the sum of its proper divisors (462512830456).

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

348050014160 is a wasteful number, since it uses less digits than its factorization.

348050014160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239591 (or 7239585 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 348050014160 in words is "three hundred forty-eight billion, fifty million, fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 601 1202 2404 3005 4808 6010 9616 12020 24040 48080 7238977 14477954 28955908 36194885 57911816 72389770 115823632 144779540 289559080 579118160 4350625177 8701250354 17402500708 21753125885 34805001416 43506251770 69610002832 87012503540 174025007080 348050014160