Search a number
-
+
34020354104 = 2311739535557
BaseRepresentation
bin11111101011110001…
…010110100000111000
310020210221022001101222
4133223301112200320
51024133202312404
623343450131212
72313025144562
oct375361264070
9106727261358
1034020354104
111347866a630
126715420b08
133292292159
14190a37a332
15d41a6edbe
hex7ebc56838

34020354104 has 64 divisors (see below), whose sum is σ = 70627062240. Its totient is φ = 15233218560.

The previous prime is 34020354101. The next prime is 34020354119. The reversal of 34020354104 is 40145302043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020354101) 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 15 ways as a sum of consecutive naturals, for example, 6119294 + ... + 6124850.

Almost surely, 234020354104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34020354104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35313531120).

34020354104 is an abundant number, since it is smaller than the sum of its proper divisors (36606708136).

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

34020354104 is a wasteful number, since it uses less digits than its factorization.

34020354104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 34020354104 its reverse (40145302043), we get a palindrome (74165656147).

The spelling of 34020354104 in words is "thirty-four billion, twenty million, three hundred fifty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 953 1606 1906 3212 3812 5557 6424 7624 10483 11114 20966 22228 41932 44456 61127 69569 83864 122254 139138 244508 278276 405661 489016 556552 765259 811322 1530518 1622644 3061036 3245288 4462271 5295821 6122072 8924542 10591642 17849084 21183284 35698168 42366568 58254031 116508062 233016124 386594933 466032248 773189866 1546379732 3092759464 4252544263 8505088526 17010177052 34020354104