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343671824153 = 74294935757
BaseRepresentation
bin1010000000001000110…
…11111101111100011001
31012212002002011120001202
411000010123331330121
521112314441333103
6421514115523545
733554336210000
oct5000433757431
91185062146052
10343671824153
11122828870159
1256732bb95b5
132653c81b188
14128c3237c37
158e166e3988
hex50046fdf19

343671824153 has 20 divisors (see below), whose sum is σ = 414751744740. Its totient is φ = 284418003744.

The previous prime is 343671824147. The next prime is 343671824159. The reversal of 343671824153 is 351428176343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (343671824147) and next prime (343671824159).

It can be written as a sum of positive squares in 2 ways, for example, as 290362555609 + 53309268544 = 538853^2 + 230888^2 .

It is not a de Polignac number, because 343671824153 - 238 = 68793917209 is a prime.

It is a super-2 number, since 2×3436718241532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343671824098 and 343671824107.

It is not an unprimeable number, because it can be changed into a prime (343671824159) 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 19 ways as a sum of consecutive naturals, for example, 2398250 + ... + 2537507.

It is an arithmetic number, because the mean of its divisors is an integer number (20737587237).

Almost surely, 2343671824153 is an apocalyptic number.

It is an amenable number.

343671824153 is a deficient number, since it is larger than the sum of its proper divisors (71079920587).

343671824153 is an frugal number, since it uses more digits than its factorization.

343671824153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935814 (or 4935793 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The spelling of 343671824153 in words is "three hundred forty-three billion, six hundred seventy-one million, eight hundred twenty-four thousand, one hundred fifty-three".

Divisors: 1 7 29 49 203 343 1421 2401 9947 69629 4935757 34550299 143136953 241852093 1001958671 1692964651 7013710697 11850752557 49095974879 343671824153