Search a number
-
+
34600541144 = 23131731923107
BaseRepresentation
bin100000001110010110…
…100101101111011000
310022022101000121101212
4200032112211233120
51031330214304034
623521213402252
72333301514151
oct401626455730
9108271017355
1034600541144
1113746115754
126857799388
1333555417b0
141963446928
15d779772ce
hex80e5a5bd8

34600541144 has 32 divisors (see below), whose sum is σ = 70270366320. Its totient is φ = 15877163136.

The previous prime is 34600541141. The next prime is 34600541149. The reversal of 34600541144 is 44114500643.

It is a self number, because there is not a number n which added to its sum of digits gives 34600541144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34600541141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943562 + ... + 979545.

Almost surely, 234600541144 is an apocalyptic number.

It is an amenable number.

34600541144 is an abundant number, since it is smaller than the sum of its proper divisors (35669825176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34600541144 is a wasteful number, since it uses less digits than its factorization.

34600541144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923299 (or 1923295 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 34600541144 in words is "thirty-four billion, six hundred million, five hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 1384 2249 4498 8996 17992 1923107 3846214 7692428 15384856 25000391 50000782 100001564 200003128 332697511 665395022 1330790044 2661580088 4325067643 8650135286 17300270572 34600541144