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34365656383 = 1719536613037
BaseRepresentation
bin100000000000010110…
…100100110100111111
310021201000001020002021
4200000112210310333
51030340102001013
623442023141011
72324420155012
oct400026446477
9107630036067
1034365656383
1113635576313
1267b0ba4767
133318992026
141940183379
15d6202ba8d
hex8005a4d3f

34365656383 has 32 divisors (see below), whose sum is σ = 39096872640. Its totient is φ = 30008309760.

The previous prime is 34365656363. The next prime is 34365656401. The reversal of 34365656383 is 38365656343.

It is a cyclic number.

It is not a de Polignac number, because 34365656383 - 233 = 25775721791 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

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 34365656383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34365656363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11314141 + ... + 11317177.

It is an arithmetic number, because the mean of its divisors is an integer number (1221777270).

Almost surely, 234365656383 is an apocalyptic number.

34365656383 is a deficient number, since it is larger than the sum of its proper divisors (4731216257).

34365656383 is a wasteful number, since it uses less digits than its factorization.

34365656383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787.

The product of its digits is 13996800, while the sum is 52.

The spelling of 34365656383 in words is "thirty-four billion, three hundred sixty-five million, six hundred fifty-six thousand, three hundred eighty-three".

Divisors: 1 17 19 53 323 661 901 1007 3037 11237 12559 17119 35033 51629 57703 160961 213503 595561 665627 980951 2007457 2736337 3058259 11315659 34126769 38141683 51990403 106395221 648408611 1808718757 2021509199 34365656383