Search a number
-
+
34344566355 = 35111375115137
BaseRepresentation
bin11111111111000110…
…000111111001010011
310021122112100202000010
4133333012013321103
51030314202110410
623435551130003
72324042666031
oct377706077123
9107575322003
1034344566355
1113624681040
1267a5b13903
1333144b9718
14193b453551
15d60262c20
hex7ff187e53

34344566355 has 32 divisors (see below), whose sum is σ = 59955199488. Its totient is φ = 16649600000.

The previous prime is 34344566341. The next prime is 34344566359. The reversal of 34344566355 is 55366544343.

It is not a de Polignac number, because 34344566355 - 220 = 34343517779 is a prime.

It is a super-3 number, since 3×343445663553 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34344566359) 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 31 ways as a sum of consecutive naturals, for example, 2261347 + ... + 2276483.

It is an arithmetic number, because the mean of its divisors is an integer number (1873599984).

Almost surely, 234344566355 is an apocalyptic number.

34344566355 is a deficient number, since it is larger than the sum of its proper divisors (25610633133).

34344566355 is a wasteful number, since it uses less digits than its factorization.

34344566355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28907.

The product of its digits is 7776000, while the sum is 48.

The spelling of 34344566355 in words is "thirty-four billion, three hundred forty-four million, five hundred sixty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 13751 15137 41253 45411 68755 75685 151261 166507 206265 227055 453783 499521 756305 832535 2268915 2497605 208148887 624446661 1040744435 2289637757 3122233305 6868913271 11448188785 34344566355