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320030464 = 28132337113
BaseRepresentation
bin10011000100110…
…100011100000000
3211022012020021011
4103010310130000
51123411433324
651431210304
710634133265
oct2304643400
9738166234
10320030464
11154715696
128b216994
13513c2050
143070926c
151d168c94
hex13134700

320030464 has 144 divisors (see below), whose sum is σ = 743787072. Its totient is φ = 136249344.

The previous prime is 320030429. The next prime is 320030479. The reversal of 320030464 is 464030023.

320030464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832072 + ... + 2832184.

It is an arithmetic number, because the mean of its divisors is an integer number (5165188).

Almost surely, 2320030464 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 320030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371893536).

320030464 is an abundant number, since it is smaller than the sum of its proper divisors (423756608).

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

320030464 is a wasteful number, since it uses less digits than its factorization.

320030464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 320030464 is about 17889.3952944195. The cubic root of 320030464 is about 684.0120832766.

Adding to 320030464 its reverse (464030023), we get a palindrome (784060487).

The spelling of 320030464 in words is "three hundred twenty million, thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 37 46 52 64 74 92 104 113 128 148 184 208 226 256 296 299 368 416 452 481 592 598 736 832 851 904 962 1184 1196 1469 1472 1664 1702 1808 1924 2368 2392 2599 2938 2944 3328 3404 3616 3848 4181 4736 4784 5198 5876 5888 6808 7232 7696 8362 9472 9568 10396 11063 11752 13616 14464 15392 16724 19136 20792 22126 23504 27232 28928 30784 33448 33787 38272 41584 44252 47008 54353 54464 61568 66896 67574 76544 83168 88504 94016 96163 108706 108928 123136 133792 135148 166336 177008 188032 192326 217412 217856 267584 270296 332672 354016 376064 384652 434824 535168 540592 665344 708032 769304 869648 1070336 1081184 1250119 1416064 1538608 1739296 2162368 2500238 2832128 3077216 3478592 4324736 5000476 6154432 6957184 8649472 10000952 12308864 13914368 20001904 24617728 40003808 80007616 160015232 320030464