Search a number
-
+
2023334320 = 245719397479
BaseRepresentation
bin111100010011001…
…1010000110110000
312020000021000220011
41320212122012300
513120433144240
6532435024304
7101066025610
oct17046320660
95200230804
102023334320
11949135027
1248573b094
13263257357
14152a10a40
15bc9716ea
hex7899a1b0

2023334320 has 160 divisors (see below), whose sum is σ = 5685350400. Its totient is φ = 654179328.

The previous prime is 2023334293. The next prime is 2023334323. The reversal of 2023334320 is 234333202.

It is a junction number, because it is equal to n+sod(n) for n = 2023334291 and 2023334300.

It is not an unprimeable number, because it can be changed into a prime (2023334323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223841 + ... + 4224319.

It is an arithmetic number, because the mean of its divisors is an integer number (35533440).

Almost surely, 22023334320 is an apocalyptic number.

2023334320 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 2023334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842675200).

2023334320 is an abundant number, since it is smaller than the sum of its proper divisors (3662016080).

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

2023334320 is a wasteful number, since it uses less digits than its factorization.

2023334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 2023334320 is about 44981.4886369938. The cubic root of 2023334320 is about 1264.8020166442.

Adding to 2023334320 its reverse (234333202), we get a palindrome (2257667522).

The spelling of 2023334320 in words is "two billion, twenty-three million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 397 479 532 560 665 760 794 958 1064 1330 1520 1588 1916 1985 2128 2395 2660 2779 3176 3353 3832 3970 4790 5320 5558 6352 6706 7543 7664 7940 9101 9580 10640 11116 13412 13895 15086 15880 16765 18202 19160 22232 26824 27790 30172 31760 33530 36404 37715 38320 44464 45505 52801 53648 55580 60344 63707 67060 72808 75430 91010 105602 111160 120688 127414 134120 145616 150860 182020 190163 211204 222320 254828 264005 268240 301720 318535 364040 380326 422408 509656 528010 603440 637070 728080 760652 844816 950815 1019312 1056020 1274140 1331141 1521304 1901630 2112040 2548280 2662282 3042608 3613097 3803260 4224080 5096560 5324564 6655705 7226194 7606520 10649128 13311410 14452388 15213040 18065485 21298256 25291679 26622820 28904776 36130970 50583358 53245640 57809552 72261940 101166716 106491280 126458395 144523880 202333432 252916790 289047760 404666864 505833580 1011667160 2023334320