Search a number
-
+
34021431045 = 3257472297969
BaseRepresentation
bin11111101011110101…
…011101011100000101
310020211000022202200200
4133223311131130011
51024133441243140
623343525201113
72313040251420
oct375365353405
9106730282620
1034021431045
1113479235768
126715860199
13329257b3b4
14190a57a9b7
15d41bd4030
hex7ebd5d705

34021431045 has 48 divisors (see below), whose sum is σ = 68828797440. Its totient is φ = 15221740032.

The previous prime is 34021431011. The next prime is 34021431077. The reversal of 34021431045 is 54013412043.

It is a happy number.

34021431045 is a `hidden beast` number, since 340 + 2 + 1 + 4 + 310 + 4 + 5 = 666.

It is not a de Polignac number, because 34021431045 - 215 = 34021398277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134180 + ... + 1163789.

It is an arithmetic number, because the mean of its divisors is an integer number (1433933280).

Almost surely, 234021431045 is an apocalyptic number.

34021431045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34021431045 is an abundant number, since it is smaller than the sum of its proper divisors (34807366395).

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

34021431045 is a wasteful number, since it uses less digits than its factorization.

34021431045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298034 (or 2298031 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34021431045 its reverse (54013412043), we get a palindrome (88034843088).

The spelling of 34021431045 in words is "thirty-four billion, twenty-one million, four hundred thirty-one thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 14805 2297969 6893907 11489845 16085783 20681721 34469535 48257349 80428915 103408605 108004543 144772047 241286745 324013629 540022715 723860235 756031801 972040887 1620068145 2268095403 3780159005 4860204435 6804286209 11340477015 34021431045