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34134130333 = 292319750741
BaseRepresentation
bin11111110010100011…
…010111111010011101
310021002212101111001101
4133302203113322131
51024401314132313
623403032513101
72315606214652
oct376243277235
9107085344041
1034134130333
1113526910376
12674754b791
1332aca1a274
14191b515c29
15d4ba465dd
hex7f28d7e9d

34134130333 has 8 divisors (see below), whose sum is σ = 35313387480. Its totient is φ = 32955021120.

The previous prime is 34134130313. The next prime is 34134130339. The reversal of 34134130333 is 33303143143.

It can be written as a sum of positive squares in 4 ways, for example, as 352425529 + 33781704804 = 18773^2 + 183798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34134130333 - 217 = 34133999261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134130339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647343 + ... + 698083.

It is an arithmetic number, because the mean of its divisors is an integer number (4414173435).

Almost surely, 234134130333 is an apocalyptic number.

It is an amenable number.

34134130333 is a deficient number, since it is larger than the sum of its proper divisors (1179257147).

34134130333 is a wasteful number, since it uses less digits than its factorization.

34134130333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73967.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 34134130333 its reverse (33303143143), we get a palindrome (67437273476).

The spelling of 34134130333 in words is "thirty-four billion, one hundred thirty-four million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 29 23197 50741 672713 1471489 1177038977 34134130333