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34405056196 = 2272132492
BaseRepresentation
bin100000000010101100…
…110111111011000100
310021210202011221110121
4200002230313323010
51030430143244241
623445551431324
72325406103200
oct400254677304
9107722157417
1034405056196
1113655836a45
126802225544
133323ba8624
1419454bbb00
15d65710ad1
hex802b37ec4

34405056196 has 27 divisors (see below), whose sum is σ = 70044151149. Its totient is φ = 14743911168.

The previous prime is 34405056181. The next prime is 34405056199. The reversal of 34405056196 is 69165050443.

The square root of 34405056196 is 185486.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8932896196 + 25472160000 = 94514^2 + 159600^2 .

It is not an unprimeable number, because it can be changed into a prime (34405056199) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2590180 + ... + 2603428.

Almost surely, 234405056196 is an apocalyptic number.

34405056196 is the 185486-th square number.

It is an amenable number.

34405056196 is an abundant number, since it is smaller than the sum of its proper divisors (35639094953).

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

34405056196 is an frugal number, since it uses more digits than its factorization.

34405056196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26516 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 34405056196 in words is "thirty-four billion, four hundred five million, fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 13249 26498 52996 92743 185486 370972 649201 1298402 2596804 175536001 351072002 702144004 1228752007 2457504014 4915008028 8601264049 17202528098 34405056196