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34178230341 = 34421953461
BaseRepresentation
bin11111110101001011…
…100110100001000101
310021012221100222220000
4133311023212201011
51024444111332331
623411250031513
72316653110263
oct376513464105
9107187328800
1034178230341
11135497a1362
12675a278599
1332b8bbb048
141923315433
15d508580e6
hex7f52e6845

34178230341 has 10 divisors (see below), whose sum is σ = 51056368902. Its totient is φ = 22785486840.

The previous prime is 34178230309. The next prime is 34178230357. The reversal of 34178230341 is 14303287143.

34178230341 is a `hidden beast` number, since 3 + 417 + 8 + 230 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21339074241 + 12839156100 = 146079^2 + 113310^2 .

It is not a de Polignac number, because 34178230341 - 25 = 34178230309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34178230296 and 34178230305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34178230241) 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 9 ways as a sum of consecutive naturals, for example, 210976650 + ... + 210976811.

Almost surely, 234178230341 is an apocalyptic number.

It is an amenable number.

34178230341 is a deficient number, since it is larger than the sum of its proper divisors (16878138561).

34178230341 is an equidigital number, since it uses as much as digits as its factorization.

34178230341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421953473 (or 421953464 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34178230341 in words is "thirty-four billion, one hundred seventy-eight million, two hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 421953461 1265860383 3797581149 11392743447 34178230341