Search a number
-
+
238675374 = 23272461587
BaseRepresentation
bin11100011100111…
…10010110101110
3121122002222001200
432032132112232
5442100102444
635403350330
75625464400
oct1616362656
9548088050
10238675374
111127a9383
1267b223a6
133a5a8c42
14239acb70
1515e48969
hexe39e5ae

238675374 has 72 divisors (see below), whose sum is σ = 603891288. Its totient is φ = 67929120.

The previous prime is 238675369. The next prime is 238675399. The reversal of 238675374 is 473576832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406309 + ... + 406895.

It is an arithmetic number, because the mean of its divisors is an integer number (8387379).

Almost surely, 2238675374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238675374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301945644).

238675374 is an abundant number, since it is smaller than the sum of its proper divisors (365215914).

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

238675374 is a wasteful number, since it uses less digits than its factorization.

238675374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 238675374 is about 15449.1221109809. The cubic root of 238675374 is about 620.3010799214.

It can be divided in two parts, 23867 and 5374, that added together give a square (29241 = 1712).

The spelling of 238675374 in words is "two hundred thirty-eight million, six hundred seventy-five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 461 587 882 922 1174 1383 1761 2766 3227 3522 4109 4149 5283 6454 8218 8298 9681 10566 12327 19362 22589 24654 28763 29043 36981 45178 57526 58086 67767 73962 86289 135534 172578 203301 258867 270607 406602 517734 541214 811821 1623642 1894249 2435463 3788498 4870926 5682747 11365494 13259743 17048241 26519486 34096482 39779229 79558458 119337687 238675374