Search a number
-
+
34420144248 = 2332768293937
BaseRepresentation
bin100000000011100110…
…011011100001111000
310021211210120111101100
4200003212123201320
51030443024103443
623451251051400
72325651253530
oct400346334170
9107753514340
1034420144248
1113663301906
1268072a0b60
13332705c079
1419474c84c0
15d66be13d3
hex80399b878

34420144248 has 48 divisors (see below), whose sum is σ = 106538543280. Its totient is φ = 9834326784.

The previous prime is 34420144229. The next prime is 34420144249. The reversal of 34420144248 is 84244102443.

34420144248 is a `hidden beast` number, since 3 + 4 + 4 + 201 + 442 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420144249) 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, 34146465 + ... + 34147472.

It is an arithmetic number, because the mean of its divisors is an integer number (2219552985).

Almost surely, 234420144248 is an apocalyptic number.

It is an amenable number.

34420144248 is an abundant number, since it is smaller than the sum of its proper divisors (72118399032).

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

34420144248 is a wasteful number, since it uses less digits than its factorization.

34420144248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68293956 (or 68293949 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 34420144248 in words is "thirty-four billion, four hundred twenty million, one hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 68293937 136587874 204881811 273175748 409763622 478057559 546351496 614645433 819527244 956115118 1229290866 1434172677 1639054488 1912230236 2458581732 2868345354 3824460472 4302518031 4917163464 5736690708 8605036062 11473381416 17210072124 34420144248