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2023321320 = 2332537151901
BaseRepresentation
bin111100010011001…
…0110111011101000
312020000020101001200
41320212112323220
513120432240240
6532434444200
7101065642656
oct17046267350
95200211050
102023321320
11949126289
12485733660
13263251467
14152a09dd6
15bc96c930
hex78996ee8

2023321320 has 96 divisors (see below), whose sum is σ = 6753562920. Its totient is φ = 524966400.

The previous prime is 2023321301. The next prime is 2023321367. The reversal of 2023321320 is 231233202.

It is a happy number.

2023321320 is a `hidden beast` number, since 2 + 0 + 23 + 321 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1488879396 + 534441924 = 38586^2 + 23118^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2023321293 and 2023321302.

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 23 ways as a sum of consecutive naturals, for example, 62631 + ... + 89270.

Almost surely, 22023321320 is an apocalyptic number.

2023321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023321320 is an abundant number, since it is smaller than the sum of its proper divisors (4730241600).

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

2023321320 is a wasteful number, since it uses less digits than its factorization.

2023321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151955 (or 151948 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2023321320 is about 44981.3441328736. The cubic root of 2023321320 is about 1264.7993078381.

Adding to 2023321320 its reverse (231233202), we get a palindrome (2254554522).

The spelling of 2023321320 in words is "two billion, twenty-three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 151901 303802 455703 607604 759505 911406 1215208 1367109 1519010 1822812 2278515 2734218 3038020 3645624 4557030 5468436 5620337 6076040 6835545 9114060 10936872 11240674 13671090 16861011 18228120 22481348 27342180 28101685 33722022 44962696 50583033 54684360 56203370 67444044 84305055 101166066 112406740 134888088 168610110 202332132 224813480 252915165 337220220 404664264 505830330 674440440 1011660660 2023321320