Search a number
-
+
2320483392 = 263210613797
BaseRepresentation
bin1000101001001111…
…1100010001000000
312222201101202210100
42022103330101000
514223020432032
61022132002400
7111334532463
oct21223742100
95881352710
102320483392
11a90941577
12549160400
132ac9975c6
141802812da
15d8aba97c
hex8a4fc440

2320483392 has 84 divisors (see below), whose sum is σ = 6659268876. Its totient is φ = 772561920.

The previous prime is 2320483367. The next prime is 2320483397. The reversal of 2320483392 is 2933840232.

It can be written as a sum of positive squares in 2 ways, for example, as 594579456 + 1725903936 = 24384^2 + 41544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2320483397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609238 + ... + 613034.

Almost surely, 22320483392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329634438).

2320483392 is an abundant number, since it is smaller than the sum of its proper divisors (4338785484).

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

2320483392 is a wasteful number, since it uses less digits than its factorization.

2320483392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2320483392 is about 48171.3959938883. The cubic root of 2320483392 is about 1323.9131264060.

The spelling of 2320483392 in words is "two billion, three hundred twenty million, four hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1061 2122 3183 3797 4244 6366 7594 8488 9549 11391 12732 15188 16976 19098 22782 25464 30376 33952 34173 38196 45564 50928 60752 67904 68346 76392 91128 101856 121504 136692 152784 182256 203712 243008 273384 305568 364512 546768 611136 729024 1093536 2187072 4028617 8057234 12085851 16114468 24171702 32228936 36257553 48343404 64457872 72515106 96686808 128915744 145030212 193373616 257831488 290060424 386747232 580120848 773494464 1160241696 2320483392