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348046162345 = 5722948986089
BaseRepresentation
bin1010001000010010010…
…10101111100110101001
31020021100221020221222101
411010021022233212221
521200244304143340
6423520141053401
734100623365400
oct5041112574651
91207327227871
10348046162345
11124672a92192
1257553b57261
1326a88b6797b
1412bba192637
1590c075dc9a
hex51092af9a9

348046162345 has 24 divisors (see below), whose sum is σ = 502597283400. Its totient is φ = 230430557952.

The previous prime is 348046162337. The next prime is 348046162379. The reversal of 348046162345 is 543261640843.

It can be written as a sum of positive squares in 4 ways, for example, as 99838936729 + 248207225616 = 315973^2 + 498204^2 .

It is not a de Polignac number, because 348046162345 - 23 = 348046162337 is a prime.

It is a super-2 number, since 2×3480461623452 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348046162295 and 348046162304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24485940 + ... + 24500149.

It is an arithmetic number, because the mean of its divisors is an integer number (20941553475).

Almost surely, 2348046162345 is an apocalyptic number.

348046162345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348046162345 is a deficient number, since it is larger than the sum of its proper divisors (154551121055).

348046162345 is a wasteful number, since it uses less digits than its factorization.

348046162345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48986137 (or 48986130 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 348046162345 in words is "three hundred forty-eight billion, forty-six million, one hundred sixty-two thousand, three hundred forty-five".

Divisors: 1 5 7 29 35 49 145 203 245 1015 1421 7105 48986089 244930445 342902623 1420596581 1714513115 2400318361 7102982905 9944176067 12001591805 49720880335 69609232469 348046162345