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34000133420 = 22511154546061
BaseRepresentation
bin11111101010100100…
…001101110100101100
310020202112020201211202
4133222210031310230
51024113013232140
623341444505032
72312361236261
oct375244156454
9106675221752
1034000133420
1113468209520
12670a6ab178
13328b032456
1419077d5268
15d3edc8915
hex7ea90dd2c

34000133420 has 24 divisors (see below), whose sum is σ = 77891215248. Its totient is φ = 12363684800.

The previous prime is 34000133417. The next prime is 34000133441. The reversal of 34000133420 is 2433100043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34000133392 and 34000133401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77272811 + ... + 77273250.

It is an arithmetic number, because the mean of its divisors is an integer number (3245467302).

Almost surely, 234000133420 is an apocalyptic number.

It is an amenable number.

34000133420 is an abundant number, since it is smaller than the sum of its proper divisors (43891081828).

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

34000133420 is a wasteful number, since it uses less digits than its factorization.

34000133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154546081 (or 154546079 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34000133420 its reverse (2433100043), we get a palindrome (36433233463).

The spelling of 34000133420 in words is "thirty-four billion, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 154546061 309092122 618184244 772730305 1545460610 1700006671 3090921220 3400013342 6800026684 8500033355 17000066710 34000133420