Search a number
-
+
34022771145 = 3351129790033
BaseRepresentation
bin11111101011111010…
…100100100111001001
310020211002211211222000
4133223322210213021
51024134312134040
623344014021213
72313054532416
oct375372444711
9106732754860
1034022771145
1113479a70590
1267161a7809
13329292a35c
14190a80910d
15d41d9b130
hex7ebea49c9

34022771145 has 64 divisors (see below), whose sum is σ = 68258937600. Its totient is φ = 15927045120.

The previous prime is 34022771099. The next prime is 34022771147. The reversal of 34022771145 is 54117722043.

34022771145 is a `hidden beast` number, since 340 + 2 + 277 + 1 + 1 + 45 = 666.

It is not a de Polignac number, because 34022771145 - 210 = 34022770121 is a prime.

It is a super-2 number, since 2×340227711452 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34022771147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351952 + ... + 438081.

It is an arithmetic number, because the mean of its divisors is an integer number (1066545900).

Almost surely, 234022771145 is an apocalyptic number.

It is an amenable number.

34022771145 is an abundant number, since it is smaller than the sum of its proper divisors (34236166455).

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

34022771145 is a wasteful number, since it uses less digits than its factorization.

34022771145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790087 (or 790081 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 34022771145 in words is "thirty-four billion, twenty-two million, seven hundred seventy-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1485 1595 2871 3915 4785 8613 14355 43065 790033 2370099 3950165 7110297 8690363 11850495 21330891 22910957 26071089 35551485 43451815 68732871 78213267 106654455 114554785 130355445 206198613 234639801 252020527 343664355 391066335 618595839 756061581 1030993065 1173199005 1260102635 2268184743 3092979195 3780307905 6804554229 11340923715 34022771145