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2321430320 = 245113783859
BaseRepresentation
bin1000101001011110…
…0011011100110000
312222210011212201202
42022113203130300
514223241232240
61022204150332
7111345555266
oct21227433460
95883155652
102321430320
11a91428a60
125495383a8
132acc39611
1418044a436
15d8c06315
hex8a5e3730

2321430320 has 160 divisors (see below), whose sum is σ = 6127107840. Its totient is φ = 810501120.

The previous prime is 2321430311. The next prime is 2321430341. The reversal of 2321430320 is 230341232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2321430292 and 2321430301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702051 + ... + 2702909.

It is an arithmetic number, because the mean of its divisors is an integer number (38294424).

Almost surely, 22321430320 is an apocalyptic number.

2321430320 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 2321430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063553920).

2321430320 is an abundant number, since it is smaller than the sum of its proper divisors (3805677520).

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

2321430320 is a wasteful number, since it uses less digits than its factorization.

2321430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2321430320 is about 48181.2237287514. The cubic root of 2321430320 is about 1324.0931865786.

Adding to 2321430320 its reverse (230341232), we get a palindrome (2551771552).

The spelling of 2321430320 in words is "two billion, three hundred twenty-one million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 83 88 110 148 166 176 185 220 296 332 370 407 415 440 592 664 740 814 830 859 880 913 1328 1480 1628 1660 1718 1826 2035 2960 3071 3256 3320 3436 3652 4070 4295 4565 6142 6512 6640 6872 7304 8140 8590 9130 9449 12284 13744 14608 15355 16280 17180 18260 18898 24568 30710 31783 32560 33781 34360 36520 37796 47245 49136 61420 63566 67562 68720 71297 73040 75592 94490 122840 127132 135124 142594 151184 158915 168905 188980 245680 254264 270248 285188 317830 337810 349613 356485 377960 508528 540496 570376 635660 675620 699226 712970 755920 784267 1140752 1271320 1351240 1398452 1425940 1568534 1748065 2542640 2637989 2702480 2796904 2851880 3137068 3496130 3921335 5275978 5593808 5703760 6274136 6992260 7842670 10551956 12548272 13189945 13984520 15685340 21103912 26379890 27969040 29017879 31370680 42207824 52759780 58035758 62741360 105519560 116071516 145089395 211039120 232143032 290178790 464286064 580357580 1160715160 2321430320