Search a number
-
+
320023232 = 261719113137
BaseRepresentation
bin10011000100110…
…010101011000000
3211022011212100022
4103010302223000
51123411220412
651431113012
710634103224
oct2304625300
9738155308
10320023232
11154710211
128b212768
13513bb979
1430706784
151d166a72
hex13132ac0

320023232 has 112 divisors (see below), whose sum is σ = 719267040. Its totient is φ = 140378112.

The previous prime is 320023217. The next prime is 320023307. The reversal of 320023232 is 232320023.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 320023232.

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 15 ways as a sum of consecutive naturals, for example, 2335868 + ... + 2336004.

Almost surely, 2320023232 is an apocalyptic number.

320023232 is a gapful number since it is divisible by the number (32) 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 320023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359633520).

320023232 is an abundant number, since it is smaller than the sum of its proper divisors (399243808).

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

320023232 is a wasteful number, since it uses less digits than its factorization.

320023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 320023232 is about 17889.1931623536. The cubic root of 320023232 is about 684.0069308373.

Adding to 320023232 its reverse (232320023), we get a palindrome (552343255).

The spelling of 320023232 in words is "three hundred twenty million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 113 136 137 152 226 272 274 304 323 452 544 548 608 646 904 1088 1096 1216 1292 1808 1921 2147 2192 2329 2584 2603 3616 3842 4294 4384 4658 5168 5206 7232 7684 8588 8768 9316 10336 10412 15368 15481 17176 18632 20672 20824 30736 30962 34352 36499 37264 41648 44251 61472 61924 68704 72998 74528 83296 88502 122944 123848 137408 145996 149056 166592 177004 247696 263177 291992 294139 354008 495392 526354 583984 588278 708016 990784 1052708 1167968 1176556 1416032 2105416 2335936 2353112 2832064 4210832 4706224 5000363 8421664 9412448 10000726 16843328 18824896 20001452 40002904 80005808 160011616 320023232