Search a number
-
+
28234348308 = 22331930834463
BaseRepresentation
bin11010010010111001…
…011111011100010100
32200212200220111121000
4122102321133130110
5430310443121213
620545400023300
72016450000165
oct322271373424
980780814530
1028234348308
1110a7960a861
12557b761b30
13287c64029a
14151bb5376c
15b03b07c73
hex692e5f714

28234348308 has 96 divisors (see below), whose sum is σ = 77095065600. Its totient is φ = 8911220832.

The previous prime is 28234348301. The next prime is 28234348319. The reversal of 28234348308 is 80384343282.

28234348308 is a `hidden beast` number, since 282 + 34 + 34 + 8 + 308 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28234348301) 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 31 ways as a sum of consecutive naturals, for example, 6324085 + ... + 6328547.

It is an arithmetic number, because the mean of its divisors is an integer number (803073600).

Almost surely, 228234348308 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 28234348308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38547532800).

28234348308 is an abundant number, since it is smaller than the sum of its proper divisors (48860717292).

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

28234348308 is a wasteful number, since it uses less digits than its factorization.

28234348308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28234348308 in words is "twenty-eight billion, two hundred thirty-four million, three hundred forty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 3083 4463 6166 8926 9249 12332 13389 17852 18498 26778 27747 36996 40167 53556 55494 58577 80334 83241 84797 110988 117154 120501 160668 166482 169594 175731 234308 241002 254391 332964 339188 351462 482004 508782 527193 702924 763173 1017564 1054386 1526346 1581579 2108772 2289519 3052692 3163158 4579038 6326316 9158076 13759429 27518858 41278287 55037716 82556574 123834861 165113148 247669722 261429151 371504583 495339444 522858302 743009166 784287453 1045716604 1486018332 1568574906 2352862359 3137149812 4705724718 7058587077 9411449436 14117174154 28234348308