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34784608212 = 22322334146949
BaseRepresentation
bin100000011001010100…
…101111111111010100
310022210012101011221200
4200121110233333110
51032214324430322
623551350512500
72340665201634
oct403124577724
9108705334850
1034784608212
1113830005aa2
1268a9365730
13338470a913
14197da7c6c4
15d88bd58ac
hex81952ffd4

34784608212 has 36 divisors (see below), whose sum is σ = 88305153300. Its totient is φ = 11545103232.

The previous prime is 34784608153. The next prime is 34784608217. The reversal of 34784608212 is 21280648743.

It is a happy number.

34784608212 is a `hidden beast` number, since 34 + 7 + 8 + 4 + 608 + 2 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8050396176 + 26734212036 = 89724^2 + 163506^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34784608217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2065087 + ... + 2081862.

It is an arithmetic number, because the mean of its divisors is an integer number (2452920925).

Almost surely, 234784608212 is an apocalyptic number.

It is an amenable number.

34784608212 is an abundant number, since it is smaller than the sum of its proper divisors (53520545088).

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

34784608212 is a wasteful number, since it uses less digits than its factorization.

34784608212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147192 (or 4147187 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34784608212 in words is "thirty-four billion, seven hundred eighty-four million, six hundred eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 4146949 8293898 12440847 16587796 24881694 37322541 49763388 74645082 149290164 966239117 1932478234 2898717351 3864956468 5797434702 8696152053 11594869404 17392304106 34784608212