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2321050320 = 2432515720533
BaseRepresentation
bin1000101001011000…
…0110101011010000
312222202110120110200
42022112012223100
514223142102240
61022152055200
7111342413361
oct21226065320
95882416420
102321050320
11a91199506
12549394500
132acb35674
1418038bb68
15d8b7d930
hex8a586ad0

2321050320 has 120 divisors (see below), whose sum is σ = 7844891496. Its totient is φ = 614974464.

The previous prime is 2321050289. The next prime is 2321050337. The reversal of 2321050320 is 230501232.

It can be written as a sum of positive squares in 4 ways, for example, as 216442944 + 2104607376 = 14712^2 + 45876^2 .

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 junction number, because it is equal to n+sod(n) for n = 2321050293 and 2321050302.

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 23 ways as a sum of consecutive naturals, for example, 102774 + ... + 123306.

Almost surely, 22321050320 is an apocalyptic number.

2321050320 is a gapful number since it is divisible by the number (20) 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 2321050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922445748).

2321050320 is an abundant number, since it is smaller than the sum of its proper divisors (5523841176).

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

2321050320 is a wasteful number, since it uses less digits than its factorization.

2321050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20709 (or 20700 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2321050320 is about 48177.2801224810. The cubic root of 2321050320 is about 1324.0209347341.

Adding to 2321050320 its reverse (230501232), we get a palindrome (2551551552).

The spelling of 2321050320 in words is "two billion, three hundred twenty-one million, fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12560 14130 18840 20533 22608 28260 37680 41066 56520 61599 82132 102665 113040 123198 164264 184797 205330 246396 307995 328528 369594 410660 492792 615990 739188 821320 923985 985584 1231980 1478376 1642640 1847970 2463960 2956752 3223681 3695940 4927920 6447362 7391880 9671043 12894724 14783760 16118405 19342086 25789448 29013129 32236810 38684172 48355215 51578896 58026258 64473620 77368344 96710430 116052516 128947240 145065645 154736688 193420860 232105032 257894480 290131290 386841720 464210064 580262580 773683440 1160525160 2321050320