Search a number
-
+
328685238 = 23273139383
BaseRepresentation
bin10011100101110…
…101011010110110
3211220110221101100
4103211311122312
51133120411423
652340510530
711100531000
oct2345653266
9756427340
10328685238
111595970a2
12920ab446
135313250b
143191d370
151dcc8343
hex139756b6

328685238 has 96 divisors (see below), whose sum is σ = 838656000. Its totient is φ = 92991024.

The previous prime is 328685221. The next prime is 328685239. The reversal of 328685238 is 832586823.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 328685193 and 328685202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328685239) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 857995 + ... + 858377.

It is an arithmetic number, because the mean of its divisors is an integer number (8736000).

Almost surely, 2328685238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328685238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328000).

328685238 is an abundant number, since it is smaller than the sum of its proper divisors (509970762).

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

328685238 is a wasteful number, since it uses less digits than its factorization.

328685238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 328685238 is about 18129.6783755256. The cubic root of 328685238 is about 690.1233679853.

The spelling of 328685238 in words is "three hundred twenty-eight million, six hundred eighty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 139 147 278 294 343 383 417 441 686 766 834 882 973 1029 1149 1251 1946 2058 2298 2502 2681 2919 3087 3447 5362 5838 6174 6811 6894 8043 8757 13622 16086 17514 18767 20433 24129 37534 40866 47677 48258 53237 56301 61299 95354 106474 112602 122598 131369 143031 159711 168903 262738 286062 319422 337806 372659 394107 429093 479133 745318 788214 858186 958266 1117977 1182321 2235954 2364642 2608613 3353931 5217226 6707862 7825839 15651678 18260291 23477517 36520582 46955034 54780873 109561746 164342619 328685238