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34712960241 = 3293143129863
BaseRepresentation
bin100000010101000011…
…011011110011110001
310022121012120002102010
4200111003123303301
51032043004211431
623540311113133
72336135202501
oct402503336361
9108535502363
1034712960241
11137a36198a3
1268893727a9
133372912c7b
14197434ba01
15d82781846
hex8150dbcf1

34712960241 has 32 divisors (see below), whose sum is σ = 49540792320. Its totient is φ = 21572308800.

The previous prime is 34712960221. The next prime is 34712960311. The reversal of 34712960241 is 14206921743.

It is not a de Polignac number, because 34712960241 - 25 = 34712960209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34712960241.

It is not an unprimeable number, because it can be changed into a prime (34712960221) 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 31 ways as a sum of consecutive naturals, for example, 1147476 + ... + 1177338.

It is an arithmetic number, because the mean of its divisors is an integer number (1548149760).

Almost surely, 234712960241 is an apocalyptic number.

34712960241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34712960241 is a deficient number, since it is larger than the sum of its proper divisors (14827832079).

34712960241 is a wasteful number, since it uses less digits than its factorization.

34712960241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30357.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 34712960241 in words is "thirty-four billion, seven hundred twelve million, nine hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 29 31 87 93 431 899 1293 2697 12499 13361 29863 37497 40083 89589 387469 866027 925753 1162407 2598081 2777259 12870953 26846837 38612859 80540511 373257637 398999543 1119772911 1196998629 11570986747 34712960241