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34036054313 = 257222159629
BaseRepresentation
bin11111101100101101…
…001111100100101001
310020212000211201001012
4133230231033210221
51024201212214223
623345210433305
72313305455022
oct375455174451
9106760751035
1034036054313
1113486513408
12671a732835
1332955cb411
14190c4a5c49
15d43121c78
hex7ecb4f929

34036054313 has 8 divisors (see below), whose sum is σ = 34184447880. Its totient is φ = 33887784960.

The previous prime is 34036054307. The next prime is 34036054333. The reversal of 34036054313 is 31345063043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18510146704 + 15525907609 = 136052^2 + 124603^2 .

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 34036054313 - 218 = 34035792169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34036054313.

It is not an unprimeable number, because it can be changed into a prime (34036054333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540983 + ... + 600611.

It is an arithmetic number, because the mean of its divisors is an integer number (4273055985).

Almost surely, 234036054313 is an apocalyptic number.

It is an amenable number.

34036054313 is a deficient number, since it is larger than the sum of its proper divisors (148393567).

34036054313 is a wasteful number, since it uses less digits than its factorization.

34036054313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62107.

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 34036054313 in words is "thirty-four billion, thirty-six million, fifty-four thousand, three hundred thirteen".

Divisors: 1 257 2221 59629 570797 15324653 132436009 34036054313