Search a number
-
+
314232534 = 238711311
BaseRepresentation
bin10010101110101…
…100111011010110
3210220021200000000
4102232230323112
51120420420114
651103032130
710533634560
oct2256547326
9726250000
10314232534
11151415610
128929b646
1350142015
142da3a330
151c8c0e09
hex12baced6

314232534 has 144 divisors (see below), whose sum is σ = 884272896. Its totient is φ = 81356400.

The previous prime is 314232497. The next prime is 314232557. The reversal of 314232534 is 435232413.

It is a super-2 number, since 2×3142325342 = 197484170848122312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 314232498 and 314232507.

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 71 ways as a sum of consecutive naturals, for example, 1010239 + ... + 1010549.

It is an arithmetic number, because the mean of its divisors is an integer number (6140784).

Almost surely, 2314232534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314232534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442136448).

314232534 is an abundant number, since it is smaller than the sum of its proper divisors (570040362).

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

314232534 is an equidigital number, since it uses as much as digits as its factorization.

314232534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 314232534 is about 17726.6052587629. The cubic root of 314232534 is about 679.8561792148.

Adding to 314232534 its reverse (435232413), we get a palindrome (749464947).

The spelling of 314232534 in words is "three hundred fourteen million, two hundred thirty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 311 378 462 486 567 594 622 693 729 891 933 1134 1386 1458 1701 1782 1866 2079 2177 2187 2673 2799 3402 3421 4158 4354 4374 5103 5346 5598 6237 6531 6561 6842 8019 8397 10206 10263 12474 13062 13122 15309 16038 16794 18711 19593 20526 23947 24057 25191 30618 30789 37422 39186 45927 47894 48114 50382 56133 58779 61578 71841 72171 75573 91854 92367 112266 117558 143682 144342 151146 168399 176337 184734 215523 226719 277101 336798 352674 431046 453438 505197 529011 554202 646569 680157 831303 1010394 1058022 1293138 1360314 1587033 1662606 1939707 2040471 2493909 3174066 3879414 4080942 4761099 4987818 5819121 7481727 9522198 11638242 14283297 14963454 17457363 22445181 28566594 34914726 44890362 52372089 104744178 157116267 314232534