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34211204000 = 25538552801
BaseRepresentation
bin11111110111001001…
…011000101110100000
310021022020102020020122
4133313021120232200
51030031032012000
623414424455412
72320533302351
oct376711305640
9107266366218
1034211204000
1113566372a16
12676931a568
1332c299469c
141927859d28
15d536bd085
hex7f7258ba0

34211204000 has 48 divisors (see below), whose sum is σ = 84056938056. Its totient is φ = 13684480000.

The previous prime is 34211203951. The next prime is 34211204011. The reversal of 34211204000 is 40211243.

It can be written as a sum of positive squares in 4 ways, for example, as 22520404624 + 11690799376 = 150068^2 + 108124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34211204000.

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, 4272401 + ... + 4280400.

Almost surely, 234211204000 is an apocalyptic number.

It is an amenable number.

34211204000 is an abundant number, since it is smaller than the sum of its proper divisors (49845734056).

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

34211204000 is an equidigital number, since it uses as much as digits as its factorization.

34211204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552826 (or 8552808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 34211204000 its reverse (40211243), we get a palindrome (34251415243).

The spelling of 34211204000 in words is "thirty-four billion, two hundred eleven million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 8552801 17105602 34211204 42764005 68422408 85528010 136844816 171056020 213820025 273689632 342112040 427640050 684224080 855280100 1069100125 1368448160 1710560200 2138200250 3421120400 4276400500 6842240800 8552801000 17105602000 34211204000