Search a number
-
+
2320410144 = 253139531951
BaseRepresentation
bin1000101001001110…
…1010011000100000
312222201021001022110
42022103222120200
514223011111034
61022130235320
7111334106103
oct21223523040
95881231273
102320410144
11a908a1538
12549125b40
132ac970170
1418026273a
15d8aa3de9
hex8a4ea620

2320410144 has 96 divisors (see below), whose sum is σ = 6569869824. Its totient is φ = 712857600.

The previous prime is 2320410137. The next prime is 2320410173. The reversal of 2320410144 is 4410140232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2320410144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188369 + ... + 1190319.

It is an arithmetic number, because the mean of its divisors is an integer number (68436144).

Almost surely, 22320410144 is an apocalyptic number.

2320410144 is a gapful number since it is divisible by the number (24) 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 2320410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284934912).

2320410144 is an abundant number, since it is smaller than the sum of its proper divisors (4249459680).

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

2320410144 is a wasteful number, since it uses less digits than its factorization.

2320410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2320410144 is about 48170.6357026768. The cubic root of 2320410144 is about 1323.8991961175.

Adding to 2320410144 its reverse (4410140232), we get a palindrome (6730550376).

The spelling of 2320410144 in words is "two billion, three hundred twenty million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 953 1248 1906 1951 2859 3812 3902 5718 5853 7624 7804 11436 11706 12389 15248 15608 22872 23412 24778 25363 30496 31216 37167 45744 46824 49556 50726 62432 74334 76089 91488 93648 99112 101452 148668 152178 187296 198224 202904 297336 304356 396448 405808 594672 608712 811616 1189344 1217424 1859303 2434848 3718606 5577909 7437212 11155818 14874424 22311636 24170939 29748848 44623272 48341878 59497696 72512817 89246544 96683756 145025634 178493088 193367512 290051268 386735024 580102536 773470048 1160205072 2320410144