Search a number
-
+
320233040 = 24543127733
BaseRepresentation
bin10011000101100…
…101111001010000
3211022120112010222
4103011211321100
51123434424130
651435412212
710635636011
oct2305457120
9738515128
10320233040
11154843906
128b2b4068
135146330a
143075d008
151d1a8ce5
hex13165e50

320233040 has 80 divisors (see below), whose sum is σ = 768903168. Its totient is φ = 123959808.

The previous prime is 320233031. The next prime is 320233091. The reversal of 320233040 is 40332023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436514 + ... + 437246.

Almost surely, 2320233040 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 320233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384451584).

320233040 is an abundant number, since it is smaller than the sum of its proper divisors (448670128).

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

320233040 is a wasteful number, since it uses less digits than its factorization.

320233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

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

The square root of 320233040 is about 17895.0563005541. The cubic root of 320233040 is about 684.1563770455.

Adding to 320233040 its reverse (40332023), we get a palindrome (360565063).

The spelling of 320233040 in words is "three hundred twenty million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 127 172 215 254 344 430 508 635 688 733 860 1016 1270 1466 1720 2032 2540 2932 3440 3665 5080 5461 5864 7330 10160 10922 11728 14660 21844 27305 29320 31519 43688 54610 58640 63038 87376 93091 109220 126076 157595 186182 218440 252152 315190 372364 436880 465455 504304 630380 744728 930910 1260760 1489456 1861820 2521520 3723640 4002913 7447280 8005826 16011652 20014565 32023304 40029130 64046608 80058260 160116520 320233040