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34530012 = 22321127927
BaseRepresentation
bin1000001110111…
…0001011011100
32101222022021100
42003232023130
532314430022
63232033100
7566333406
oct203561334
971868240
1034530012
1118544a00
12b692790
1371ccb7a
14482bb76
1530711ac
hex20ee2dc

34530012 has 54 divisors (see below), whose sum is σ = 95952584. Its totient is φ = 10462320.

The previous prime is 34529993. The next prime is 34530017. The reversal of 34530012 is 21003543.

34530012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34530017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 393 + ... + 8319.

Almost surely, 234530012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34530012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47976292).

34530012 is an abundant number, since it is smaller than the sum of its proper divisors (61422572).

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

34530012 is a wasteful number, since it uses less digits than its factorization.

34530012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34530012 is about 5876.2242979655. The cubic root of 34530012 is about 325.6358738170.

Adding to 34530012 its reverse (21003543), we get a palindrome (55533555).

The spelling of 34530012 in words is "thirty-four million, five hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 7927 15854 23781 31708 47562 71343 87197 95124 142686 174394 261591 285372 348788 523182 784773 959167 1046364 1569546 1918334 2877501 3139092 3836668 5755002 8632503 11510004 17265006 34530012