Search a number
-
+
320210640 = 243251726161
BaseRepresentation
bin10011000101100…
…000011011010000
3211022112101102100
4103011200123100
51123433220030
651435120400
710635513501
oct2305403320
9738471370
10320210640
11154828aa2
128b2a3100
1351456069
1430754ba8
151d1a2360
hex131606d0

320210640 has 120 divisors (see below), whose sum is σ = 1138674888. Its totient is φ = 80363520.

The previous prime is 320210609. The next prime is 320210651. The reversal of 320210640 is 46012023.

It is a happy number.

320210640 is a `hidden beast` number, since 3 + 2 + 0 + 21 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35141184 + 285069456 = 5928^2 + 16884^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 841 + ... + 25320.

Almost surely, 2320210640 is an apocalyptic number.

320210640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569337444).

320210640 is an abundant number, since it is smaller than the sum of its proper divisors (818464248).

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

320210640 is a wasteful number, since it uses less digits than its factorization.

320210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26197 (or 26188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320210640 is about 17894.4304184291. The cubic root of 320210640 is about 684.1404246418.

Adding to 320210640 its reverse (46012023), we get a palindrome (366222663).

The spelling of 320210640 in words is "three hundred twenty million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 26161 52322 78483 104644 130805 156966 209288 235449 261610 313932 392415 418576 444737 470898 523220 627864 784830 889474 941796 1046440 1177245 1255728 1334211 1569660 1778948 1883592 2092880 2223685 2354490 2668422 3139320 3557896 3767184 4002633 4447370 4708980 5336844 6278640 6671055 7115792 8005266 8894740 9417960 10673688 13342110 16010532 17789480 18835920 20013165 21347376 26684220 32021064 35578960 40026330 53368440 64042128 80052660 106736880 160105320 320210640