Search a number
-
+
336482664 = 23375983409
BaseRepresentation
bin10100000011100…
…101000101101000
3212110011002102220
4110003211011220
51142114421124
653215554040
711224025010
oct2403450550
9773132386
10336482664
11162a32451
129482b920
135493268b
143298cc40
151e818879
hex140e5168

336482664 has 128 divisors (see below), whose sum is σ = 991872000. Its totient is φ = 93141504.

The previous prime is 336482659. The next prime is 336482669. The reversal of 336482664 is 466284633.

It is a happy number.

336482664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (336482659) and next prime (336482669).

It is a super-2 number, since 2×3364826642 = 226441166345073792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (336482669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822492 + ... + 822900.

It is an arithmetic number, because the mean of its divisors is an integer number (7749000).

Almost surely, 2336482664 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 336482664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495936000).

336482664 is an abundant number, since it is smaller than the sum of its proper divisors (655389336).

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

336482664 is a wasteful number, since it uses less digits than its factorization.

336482664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 336482664 is about 18343.4637950415. The cubic root of 336482664 is about 695.5380571918.

The spelling of 336482664 in words is "three hundred thirty-six million, four hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 83 84 118 166 168 177 236 249 332 354 409 413 472 498 581 664 708 818 826 996 1162 1227 1239 1416 1636 1652 1743 1992 2324 2454 2478 2863 3272 3304 3486 4648 4897 4908 4956 5726 6972 8589 9794 9816 9912 11452 13944 14691 17178 19588 22904 24131 29382 33947 34279 34356 39176 48262 58764 67894 68558 68712 72393 96524 101841 102837 117528 135788 137116 144786 168917 193048 203682 205674 237629 271576 274232 289572 337834 407364 411348 475258 506751 579144 675668 712887 814728 822696 950516 1013502 1351336 1425774 1901032 2002873 2027004 2851548 4005746 4054008 5703096 6008619 8011492 12017238 14020111 16022984 24034476 28040222 42060333 48068952 56080444 84120666 112160888 168241332 336482664