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34020668772 = 22326131541629
BaseRepresentation
bin11111101011110010…
…100011010101100100
310020210221220001001100
4133223302203111210
51024133242400042
623343501000100
72313030625146
oct375362432544
9106727801040
1034020668772
1113478864a92
126715553030
13329237244c
14190a41cc96
15d41ad324c
hex7ebca3564

34020668772 has 36 divisors (see below), whose sum is σ = 86137034620. Its totient is φ = 11321716032.

The previous prime is 34020668729. The next prime is 34020668777. The reversal of 34020668772 is 27786602043.

It can be written as a sum of positive squares in 2 ways, for example, as 12799754496 + 21220914276 = 113136^2 + 145674^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34020668777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 748747 + ... + 792882.

Almost surely, 234020668772 is an apocalyptic number.

It is an amenable number.

34020668772 is an abundant number, since it is smaller than the sum of its proper divisors (52116365848).

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

34020668772 is a wasteful number, since it uses less digits than its factorization.

34020668772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542252 (or 1542247 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 34020668772 in words is "thirty-four billion, twenty million, six hundred sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 613 1226 1839 2452 3678 5517 7356 11034 22068 1541629 3083258 4624887 6166516 9249774 13874661 18499548 27749322 55498644 945018577 1890037154 2835055731 3780074308 5670111462 8505167193 11340222924 17010334386 34020668772