Search a number
-
+
34043446240 = 255212771539
BaseRepresentation
bin11111101101001001…
…011100001111100000
310020212112202020212021
4133231021130033200
51024210110234430
623350033111224
72313425342566
oct375511341740
9106775666767
1034043446240
111348a702041
1267210b8514
133296cb8b3b
14190d46ba36
15d43ad207a
hex7ed25c3e0

34043446240 has 24 divisors (see below), whose sum is σ = 80427642120. Its totient is φ = 13617378432.

The previous prime is 34043446223. The next prime is 34043446277. The reversal of 34043446240 is 4264434043.

It is a junction number, because it is equal to n+sod(n) for n = 34043446196 and 34043446205.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 106385610 + ... + 106385929.

It is an arithmetic number, because the mean of its divisors is an integer number (3351151755).

Almost surely, 234043446240 is an apocalyptic number.

It is an amenable number.

34043446240 is an abundant number, since it is smaller than the sum of its proper divisors (46384195880).

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

34043446240 is a wasteful number, since it uses less digits than its factorization.

34043446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212771554 (or 212771546 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

The spelling of 34043446240 in words is "thirty-four billion, forty-three million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 212771539 425543078 851086156 1063857695 1702172312 2127715390 3404344624 4255430780 6808689248 8510861560 17021723120 34043446240