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2325768320 = 2756773743
BaseRepresentation
bin1000101010100000…
…0110100010000000
320000002100021100102
42022220012202000
514230344041240
61022441141532
7111430463441
oct21250064200
96002307312
102325768320
11a93921187
1254aa8a8a8
132b0ac7c95
14180c592c8
15d92b1815
hex8aa06880

2325768320 has 128 divisors (see below), whose sum is σ = 5728026240. Its totient is φ = 902651904.

The previous prime is 2325768293. The next prime is 2325768323. The reversal of 2325768320 is 238675232.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2325768323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3129869 + ... + 3130611.

It is an arithmetic number, because the mean of its divisors is an integer number (44750205).

Almost surely, 22325768320 is an apocalyptic number.

2325768320 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 2325768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864013120).

2325768320 is an abundant number, since it is smaller than the sum of its proper divisors (3402257920).

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

2325768320 is an equidigital number, since it uses as much as digits as its factorization.

2325768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 2325768320 is about 48226.2202541315. The cubic root of 2325768320 is about 1324.9174402101.

The spelling of 2325768320 in words is "two billion, three hundred twenty-five million, seven hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 73 80 128 134 146 160 268 292 320 335 365 536 584 640 670 730 743 1072 1168 1340 1460 1486 2144 2336 2680 2920 2972 3715 4288 4672 4891 5360 5840 5944 7430 8576 9344 9782 10720 11680 11888 14860 19564 21440 23360 23776 24455 29720 39128 42880 46720 47552 48910 49781 54239 59440 78256 95104 97820 99562 108478 118880 156512 195640 199124 216956 237760 248905 271195 313024 391280 398248 433912 475520 497810 542390 626048 782560 796496 867824 995620 1084780 1565120 1592992 1735648 1991240 2169560 3130240 3185984 3471296 3634013 3982480 4339120 6371968 6942592 7268026 7964960 8678240 14536052 15929920 17356480 18170065 29072104 31859840 34712960 36340130 58144208 72680260 116288416 145360520 232576832 290721040 465153664 581442080 1162884160 2325768320